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10056051516 = 2237127942637
BaseRepresentation
bin10010101110110001…
…10010101100111100
3221221211020100100110
421113120302230330
5131043322122031
64341504030020
7504125012310
oct112730625474
927854210313
1010056051516
1142a0419385
121b47902310
13c434b4154
146b5793b40
153dcc80c46
hex257632b3c

10056051516 has 48 divisors (see below), whose sum is σ = 27027316736. Its totient is φ = 2850531264.

The previous prime is 10056051493. The next prime is 10056051539. The reversal of 10056051516 is 61515065001.

It is an interprime number because it is at equal distance from previous prime (10056051493) and next prime (10056051539).

It is a super-2 number, since 2×100560515162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460651 + ... + 481986.

Almost surely, 210056051516 is an apocalyptic number.

It is an amenable number.

10056051516 is an abundant number, since it is smaller than the sum of its proper divisors (16971265220).

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

10056051516 is a wasteful number, since it uses less digits than its factorization.

10056051516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942778 (or 942776 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

It can be divided in two parts, 100560 and 51516, that added together give a triangular number (152076 = T551).

The spelling of 10056051516 in words is "ten billion, fifty-six million, fifty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 5334 10668 942637 1885274 2827911 3770548 5655822 6598459 11311644 13196918 19795377 26393836 39590754 79181508 119714899 239429798 359144697 478859596 718289394 838004293 1436578788 1676008586 2514012879 3352017172 5028025758 10056051516