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51560587264 = 2131012617
BaseRepresentation
bin110000000001010000…
…000010000000000000
311221002100100012220011
4300001100002000000
51321044002243024
635404150154304
73503501521564
oct600120020000
9157070305804
1051560587264
111a95967539a
129bab652994
134b29186344
1426d1ac56a4
15151b8ab094
hexc01402000

51560587264 has 84 divisors (see below), whose sum is σ = 104314722282. Its totient is φ = 25483673600.

The previous prime is 51560587217. The next prime is 51560587313. The reversal of 51560587264 is 46278506515.

It can be written as a sum of positive squares in 3 ways, for example, as 50895360000 + 665227264 = 225600^2 + 25792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83566284 + ... + 83566900.

Almost surely, 251560587264 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 51560587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157361141).

51560587264 is an abundant number, since it is smaller than the sum of its proper divisors (52754135018).

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

51560587264 is an frugal number, since it uses more digits than its factorization.

51560587264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 51560587264 in words is "fifty-one billion, five hundred sixty million, five hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 617 808 1024 1234 1616 2048 2468 3232 4096 4936 6464 8192 9872 10201 12928 19744 20402 25856 39488 40804 51712 62317 78976 81608 103424 124634 157952 163216 206848 249268 315904 326432 413696 498536 631808 652864 827392 997072 1263616 1305728 1994144 2527232 2611456 3988288 5054464 5222912 6294017 7976576 10445824 12588034 15953152 20891648 25176068 31906304 41783296 50352136 63812608 83566592 100704272 127625216 201408544 255250432 402817088 510500864 805634176 1611268352 3222536704 6445073408 12890146816 25780293632 51560587264