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12902460921 = 36726012
BaseRepresentation
bin11000000010000101…
…11110110111111001
31020022012020221000000
430001002332313321
5202411012222141
65532144303213
7634510052100
oct140102766771
936265227000
1012902460921
115521114949
122601011b09
1312a811037c
148a5819037
15507ad65b6
hex3010bedf9

12902460921 has 63 divisors (see below), whose sum is σ = 22540688703. Its totient is φ = 7360567200.

The previous prime is 12902460869. The next prime is 12902460931. The reversal of 12902460921 is 12906420921.

The square root of 12902460921 is 113589.

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

12902460921 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 24 + 609 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10844931321 + 2057529600 = 104139^2 + 45360^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 12902460921 - 221 = 12900363769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12902460931) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 21468021 + ... + 21468621.

Almost surely, 212902460921 is an apocalyptic number.

12902460921 is the 113589-th square number.

12902460921 is the 56795-th centered octagonal number.

It is an amenable number.

12902460921 is a deficient number, since it is larger than the sum of its proper divisors (9638227782).

12902460921 is an frugal number, since it uses more digits than its factorization.

12902460921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 12902460921 by its sum of digits (36), we get a square (464488593156 = 6815342).

The spelling of 12902460921 in words is "twelve billion, nine hundred two million, four hundred sixty thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 601 729 1323 1701 1803 3969 4207 5103 5409 11907 12621 16227 29449 35721 37863 48681 88347 113589 146043 265041 340767 361201 438129 795123 1022301 1083603 2385369 2528407 3066903 3250809 7156107 7585221 9752427 17698849 21468321 22755663 29257281 53096547 68266989 87771843 159289641 204800967 263315529 477868923 614402901 1433606769 1843208703 4300820307 12902460921