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979681019393 = 29372741333101
BaseRepresentation
bin11100100000110011000…
…10100000011000000001
310110122201122200021002202
432100121202200120001
5112022341320110033
62030020444122545
7130531260160346
oct16203142403001
93418648607082
10979681019393
1134853143903a
12139a51236455
13714ca7a89ab
14355b9a4a7cd
151a73c9dc8e8
hexe4198a0601

979681019393 has 16 divisors (see below), whose sum is σ = 1041236879760. Its totient is φ = 919995552000.

The previous prime is 979681019371. The next prime is 979681019411. The reversal of 979681019393 is 393910186979.

It can be written as a sum of positive squares in 8 ways, for example, as 734449 + 979680284944 = 857^2 + 989788^2 .

It is a cyclic number.

It is not a de Polignac number, because 979681019393 - 210 = 979681018369 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (979681019333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774543 + ... + 3107643.

It is an arithmetic number, because the mean of its divisors is an integer number (65077304985).

Almost surely, 2979681019393 is an apocalyptic number.

It is an amenable number.

979681019393 is a deficient number, since it is larger than the sum of its proper divisors (61555860367).

979681019393 is a wasteful number, since it uses less digits than its factorization.

979681019393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335908.

The product of its (nonzero) digits is 19840464, while the sum is 65.

The spelling of 979681019393 in words is "nine hundred seventy-nine billion, six hundred eighty-one million, nineteen thousand, three hundred ninety-three".

Divisors: 1 29 37 1073 2741 79489 101417 333101 2941093 9659929 12324737 357417373 913029841 26477865389 33782104117 979681019393