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813557096676 = 22321503292
BaseRepresentation
bin10111101011010111100…
…10000010000011100100
32212202221012012121102100
423311223302002003210
5101312131104043201
61421424252012100
7112530463136142
oct13655362020344
92782835177370
10813557096676
11294033854125
1211180a761030
135b9448a4a7c
142b53aaaa592
15162685d9886
hexbd6bc820e4

813557096676 has 27 divisors (see below), whose sum is σ = 2056505229961. Its totient is φ = 271183894944.

The previous prime is 813557096629. The next prime is 813557096689. The reversal of 813557096676 is 676690755318.

The square root of 813557096676 is 901974.

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

813557096676 is a `hidden beast` number, since 8 + 1 + 3 + 557 + 0 + 9 + 6 + 6 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 690271842276 + 123285254400 = 830826^2 + 351120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5336680 + ... + 5487008.

Almost surely, 2813557096676 is an apocalyptic number.

813557096676 is the 901974-th square number.

It is an amenable number.

813557096676 is an abundant number, since it is smaller than the sum of its proper divisors (1242948133285).

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

813557096676 is an frugal number, since it uses more digits than its factorization.

813557096676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300668 (or 150334 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 813557096676 in words is "eight hundred thirteen billion, five hundred fifty-seven million, ninety-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 150329 300658 450987 601316 901974 1352961 1803948 2705922 5411844 22598808241 45197616482 67796424723 90395232964 135592849446 203389274169 271185698892 406778548338 813557096676