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10476341316 = 22327224372
BaseRepresentation
bin10011100000111000…
…00100100001000100
31000001010002021120100
421300130010201010
5132423420410231
64451320204100
7520420301100
oct116034044104
930033067510
1010476341316
114496692321
122044609630
13cac5aaa3c
1471551a900
15414b011e6
hex270704844

10476341316 has 81 divisors (see below), whose sum is σ = 30818078109. Its totient is φ = 2992012128.

The previous prime is 10476341303. The next prime is 10476341329. The reversal of 10476341316 is 61314367401.

The square root of 10476341316 is 102354.

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

10476341316 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 634 + 1 + 3 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (10476341303) and next prime (10476341329).

It can be written as a sum of positive squares in only one way, i.e., 9866448900 + 609892416 = 99330^2 + 24696^2 .

It is a super-2 number, since 2×104763413162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4297650 + ... + 4300086.

Almost surely, 210476341316 is an apocalyptic number.

10476341316 is the 102354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10476341316

10476341316 is an abundant number, since it is smaller than the sum of its proper divisors (20341736793).

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

10476341316 is an equidigital number, since it uses as much as digits as its factorization.

10476341316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 10476341316 by its sum of digits (36), we get a square (377148287376 = 6141242).

10476341316 divided by its sum of digits (36) gives a square (291009481 = 170592).

The spelling of 10476341316 in words is "ten billion, four hundred seventy-six million, three hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2437 4874 7311 9748 14622 17059 21933 29244 34118 43866 51177 68236 87732 102354 119413 153531 204708 238826 307062 358239 477652 614124 716478 1074717 1432956 2149434 4298868 5938969 11877938 17816907 23755876 35633814 41572783 53450721 71267628 83145566 106901442 124718349 166291132 213802884 249436698 291009481 374155047 498873396 582018962 748310094 873028443 1164037924 1496620188 1746056886 2619085329 3492113772 5238170658 10476341316