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980676264681 = 323300972
BaseRepresentation
bin11100100010101001101…
…11000100001011101001
310110202022000101221222100
432101110313010023221
5112031411110432211
62030303315444013
7130565033466201
oct16212467041351
93422260357870
10980676264681
113489a2204603
1213a08a5b6609
1371628a3c929
1435671cbb401
151a79a080156
hexe454dc42e9

980676264681 has 9 divisors (see below), whose sum is σ = 1416536673591. Its totient is φ = 653782195872.

The previous prime is 980676264671. The next prime is 980676264691. The reversal of 980676264681 is 186462676089.

The square root of 980676264681 is 990291.

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

980676264681 is a `hidden beast` number, since 9 + 80 + 6 + 76 + 26 + 468 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (980676264671) and next prime (980676264691).

It can be written as a sum of positive squares in only one way, i.e., 806466861225 + 174209403456 = 898035^2 + 417384^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 980676264681 - 217 = 980676133609 is a prime.

It is a super-2 number, since 2×9806762646812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (980676264641) by changing a digit.

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, 2805825 + ... + 3135921.

Almost surely, 2980676264681 is an apocalyptic number.

980676264681 is the 990291-st square number.

980676264681 is the 495146-th centered octagonal number.

It is an amenable number.

980676264681 is a deficient number, since it is larger than the sum of its proper divisors (435860408910).

980676264681 is an frugal number, since it uses more digits than its factorization.

980676264681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660200 (or 330100 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 980676264681 in words is "nine hundred eighty billion, six hundred seventy-six million, two hundred sixty-four thousand, six hundred eighty-one".

Divisors: 1 3 9 330097 990291 2970873 108964029409 326892088227 980676264681