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47639560864 = 25737954941
BaseRepresentation
bin101100010111100010…
…100000001010100000
311112222002020102212011
4230113202200022200
51240031211421424
633515121042304
73304360405000
oct542742401240
9145862212764
1047639560864
1119227321205
129296486394
134652a25a8c
14243d04c000
15138c535694
hexb178a02a0

47639560864 has 96 divisors (see below), whose sum is σ = 110763072000. Its totient is φ = 20158145280.

The previous prime is 47639560849. The next prime is 47639560883. The reversal of 47639560864 is 46806593674.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47639560799 and 47639560808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839634 + ... + 894574.

It is an arithmetic number, because the mean of its divisors is an integer number (1153782000).

Almost surely, 247639560864 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 47639560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55381536000).

47639560864 is an abundant number, since it is smaller than the sum of its proper divisors (63123511136).

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

47639560864 is an equidigital number, since it uses as much as digits as its factorization.

47639560864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55051 (or 55029 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 47639560864 in words is "forty-seven billion, six hundred thirty-nine million, five hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 316 343 392 553 632 686 784 1106 1264 1372 1568 2212 2528 2744 3871 4424 5488 7742 8848 10976 15484 17696 27097 30968 54194 54941 61936 108388 109882 123872 216776 219764 384587 433552 439528 769174 867104 879056 1538348 1758112 2692109 3076696 4340339 5384218 6153392 8680678 10768436 12306784 17361356 18844763 21536872 30382373 34722712 37689526 43073744 60764746 69445424 75379052 86147488 121529492 138890848 150758104 212676611 243058984 301516208 425353222 486117968 603032416 850706444 972235936 1488736277 1701412888 2977472554 3402825776 5954945108 6805651552 11909890216 23819780432 47639560864