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10051000506016 = 2518122934921713
BaseRepresentation
bin1001001001000010111001…
…0100001001011010100000
31022120212101111200101200121
42102100232110021122200
52304133422112143031
633213211010530024
72055106106446231
oct222205624113240
938525344611617
1010051000506016
113225672836048
121163b4b896914
1357ba61281832
1426a68469d088
151266b2569011
hex9242e5096a0

10051000506016 has 96 divisors (see below), whose sum is σ = 20042304282000. Its totient is φ = 4961424752640.

The previous prime is 10051000506007. The next prime is 10051000506017. The reversal of 10051000506016 is 61060500015001.

It can be written as a sum of positive squares in 8 ways, for example, as 4186950809616 + 5864049696400 = 2046204^2 + 2421580^2 .

It is a super-2 number, since 2×100510005060162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10051000506017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462891576 + ... + 462913288.

Almost surely, 210051000506016 is an apocalyptic number.

10051000506016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10051000506016 is a deficient number, since it is larger than the sum of its proper divisors (9991303775984).

10051000506016 is a wasteful number, since it uses less digits than its factorization.

10051000506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22482 (or 22474 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10051000506016 in words is "ten trillion, fifty-one billion, five hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 181 229 349 362 458 698 724 916 1396 1448 1832 2792 2896 3664 5584 5792 7328 11168 21713 41449 43426 63169 79921 82898 86852 126338 159842 165796 173704 252676 319684 331592 347408 505352 639368 663184 694816 1010704 1278736 1326368 2021408 2557472 3930053 4972277 7577837 7860106 9944554 14465701 15155674 15720212 19889108 28931402 30311348 31440424 39778216 57862804 60622696 62880848 79556432 115725608 121245392 125761696 159112864 231451216 242490784 462902432 899982137 1371588497 1735324673 1799964274 2743176994 3470649346 3599928548 5486353988 6941298692 7199857096 10972707976 13882597384 14399714192 21945415952 27765194768 28799428384 43890831904 55530389536 314093765813 628187531626 1256375063252 2512750126504 5025500253008 10051000506016