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472266474423760 = 245471275411828093
BaseRepresentation
bin110101101100001100001101…
…1011100101000010111010000
32021221011020022121101000212201
41223120120123130220113100
5443400103214423030020
64352232120115132544
7201322061331215242
oct15330303334502720
92257136277330781
10472266474423760
1112752a0a593a1a5
1244b744a68a4154
13173696ca9cc733
148489b6831c092
15398eb04dc6a0a
hex1ad861b7285d0

472266474423760 has 160 divisors (see below), whose sum is σ = 1132301182943232. Its totient is φ = 183092334888960.

The previous prime is 472266474423739. The next prime is 472266474423761. The reversal of 472266474423760 is 67324474662274.

It is a junction number, because it is equal to n+sod(n) for n = 472266474423692 and 472266474423701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472266474423761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257424274 + ... + 259252366.

Almost surely, 2472266474423760 is an apocalyptic number.

472266474423760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472266474423760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566150591471616).

472266474423760 is an abundant number, since it is smaller than the sum of its proper divisors (660034708519472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472266474423760 is a wasteful number, since it uses less digits than its factorization.

472266474423760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828821 (or 1828815 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 64.

The spelling of 472266474423760 in words is "four hundred seventy-two trillion, two hundred sixty-six billion, four hundred seventy-four million, four hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 127 188 235 254 376 470 508 541 635 752 940 1016 1082 1270 1880 2032 2164 2540 2705 3760 4328 5080 5410 5969 8656 10160 10820 11938 21640 23876 25427 29845 43280 47752 50854 59690 68707 95504 101708 119380 127135 137414 203416 238760 254270 274828 343535 406832 477520 508540 549656 687070 1017080 1099312 1374140 1828093 2034160 2748280 3229229 3656186 5496560 6458458 7312372 9140465 12916916 14624744 16146145 18280930 25833832 29249488 32292290 36561860 51667664 64584580 73123720 85920371 129169160 146247440 171840742 232167811 258338320 343681484 429601855 464335622 687362968 859203710 928671244 988998313 1160839055 1374725936 1718407420 1857342488 1977996626 2321678110 3436814840 3714684976 3955993252 4643356220 4944991565 6873629680 7911986504 9286712440 9889983130 10911887117 15823973008 18573424880 19779966260 21823774234 39559932520 43647548468 46482920711 54559435585 79119865040 87295096936 92965841422 109118871170 125602785751 174590193872 185931682844 218237742340 232414603555 251205571502 371863365688 436475484680 464829207110 502411143004 628013928755 743726731376 872950969360 929658414220 1004822286008 1256027857510 1859316828440 2009644572016 2512055715020 3718633656880 5024111430040 5903330930297 10048222860080 11806661860594 23613323721188 29516654651485 47226647442376 59033309302970 94453294884752 118066618605940 236133237211880 472266474423760