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10415813841316 = 22132101212292
BaseRepresentation
bin1001011110010001111011…
…1000100101000110100100
31100212202000222022222220201
42113210132320211012210
52331123041320410231
634052543034440244
72123342401600042
oct227443670450644
940782028288821
1010415813841316
11335635a412464
1212027a2b93084
135a728cb00900
142801b1645392
15130e14d0e161
hex9791ee251a4

10415813841316 has 81 divisors (see below), whose sum is σ = 19951250026953. Its totient is φ = 4755828854400.

The previous prime is 10415813841299. The next prime is 10415813841347. The reversal of 10415813841316 is 61314831851401.

The square root of 10415813841316 is 3227354.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 68680684900 + 10347133156416 = 262070^2 + 3216696^2 .

It is a super-2 number, since 2×104158138413162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8475030990 + ... + 8475032218.

Almost surely, 210415813841316 is an apocalyptic number.

10415813841316 is the 3227354-th square number.

It is an amenable number.

10415813841316 is a deficient number, since it is larger than the sum of its proper divisors (9535436185637).

10415813841316 is an equidigital number, since it uses as much as digits as its factorization.

10415813841316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 10415813841316 in words is "ten trillion, four hundred fifteen billion, eight hundred thirteen million, eight hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 4 13 26 52 101 169 202 338 404 676 1229 1313 2458 2626 4916 5252 10201 15977 17069 20402 31954 34138 40804 63908 68276 124129 132613 207701 248258 265226 415402 496516 530452 830804 1510441 1613677 1723969 3020882 3227354 3447938 6041764 6454708 6895876 12537029 19635733 20977801 25074058 39271466 41955602 50148116 78542932 83911204 152554541 162981377 255264529 305109082 325962754 510529058 610218164 651925508 1021058116 1983209033 2118757901 3966418066 4237515802 7932836132 8475031604 15408008641 25781717429 30816017282 51563434858 61632034564 103126869716 200304112333 400608224666 801216449332 2603953460329 5207906920658 10415813841316