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51665155440 = 243510713211523
BaseRepresentation
bin110000000111011110…
…111011010101110000
311221100122002211110120
4300013132323111300
51321302234433230
635422403330240
73506211401223
oct600736732560
9157318084416
1051665155440
111aa026a6a78
12a01a680980
134b44a391c2
1427019455ba
151525b64310
hexc077bb570

51665155440 has 160 divisors (see below), whose sum is σ = 161887424256. Its totient is φ = 13629327360.

The previous prime is 51665155393. The next prime is 51665155541. The reversal of 51665155440 is 4455156615.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51665155392 and 51665155401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33922519 + ... + 33924041.

Almost surely, 251665155440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51665155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80943712128).

51665155440 is an abundant number, since it is smaller than the sum of its proper divisors (110222268816).

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

51665155440 is a wasteful number, since it uses less digits than its factorization.

51665155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 51665155440 in words is "fifty-one billion, six hundred sixty-five million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1321 1523 1605 1712 2140 2568 2642 3046 3210 3963 4280 4569 5136 5284 6092 6420 6605 7615 7926 8560 9138 10568 12184 12840 13210 15230 15852 18276 19815 21136 22845 24368 25680 26420 30460 31704 36552 39630 45690 52840 60920 63408 73104 79260 91380 105680 121840 141347 158520 162961 182760 282694 317040 325922 365520 424041 488883 565388 651844 706735 814805 848082 977766 1130776 1303688 1413470 1629610 1696164 1955532 2011883 2120205 2261552 2444415 2607376 2826940 3259220 3392328 3911064 4023766 4240410 4888830 5653880 6035649 6518440 6784656 7822128 8047532 8480820 9777660 10059415 11307760 12071298 13036880 16095064 16961640 19555320 20118830 24142596 30178245 32190128 33923280 39110640 40237660 48285192 60356490 80475320 96570384 120712980 160950640 215271481 241425960 430542962 482851920 645814443 861085924 1076357405 1291628886 1722171848 2152714810 2583257772 3229072215 3444343696 4305429620 5166515544 6458144430 8610859240 10333031088 12916288860 17221718480 25832577720 51665155440