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47275429860 = 2232510910492297
BaseRepresentation
bin101100000001110101…
…011100111111100100
311112000201001200000200
4230001311130333210
51233310002223420
633415032310500
73262346344401
oct540165347744
9145021050020
1047275429860
111905a82519a
1291b4542430
1345c5462949
1424069432a8
15136a5a9b90
hexb01d5cfe4

47275429860 has 144 divisors (see below), whose sum is σ = 144918774000. Its totient is φ = 12473782272.

The previous prime is 47275429849. The next prime is 47275429889. The reversal of 47275429860 is 6892457274.

47275429860 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 542 + 98 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2963495844 + 44311934016 = 54438^2 + 210504^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47275429797 and 47275429806.

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 47 ways as a sum of consecutive naturals, for example, 20580232 + ... + 20582528.

It is an arithmetic number, because the mean of its divisors is an integer number (1006380375).

Almost surely, 247275429860 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 47275429860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72459387000).

47275429860 is an abundant number, since it is smaller than the sum of its proper divisors (97643344140).

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

47275429860 is a wasteful number, since it uses less digits than its factorization.

47275429860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 47275429860 in words is "forty-seven billion, two hundred seventy-five million, four hundred twenty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1049 1090 1308 1635 1962 2098 2180 2297 3147 3270 3924 4196 4594 4905 5245 6294 6540 6891 9188 9441 9810 10490 11485 12588 13782 15735 18882 19620 20673 20980 22970 27564 31470 34455 37764 41346 45940 47205 62940 68910 82692 94410 103365 114341 137820 188820 206730 228682 250373 343023 413460 457364 500746 571705 686046 751119 1001492 1029069 1143410 1251865 1372092 1502238 1715115 2058138 2253357 2286820 2409553 2503730 3004476 3430230 3755595 4116276 4506714 4819106 5007460 5145345 6860460 7228659 7511190 9013428 9638212 10290690 11266785 12047765 14457318 15022380 20581380 21685977 22533570 24095530 28914636 36143295 43371954 45067140 48191060 72286590 86743908 108429885 144573180 216859770 262641277 433719540 525282554 787923831 1050565108 1313206385 1575847662 2363771493 2626412770 3151695324 3939619155 4727542986 5252825540 7879238310 9455085972 11818857465 15758476620 23637714930 47275429860