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977693904161 = 13313240278669
BaseRepresentation
bin11100011101000110001…
…10010000110100100001
310110110121011120100110022
432032203012100310201
5112004304114413121
62025051341243225
7130431111031442
oct16164306206441
93413534510408
10977693904161
113477017a1a47
12139597863515
1371271bc3270
143546bb872c9
151a673322aab
hexe3a3190d21

977693904161 has 8 divisors (see below), whose sum is σ = 1056265033320. Its totient is φ = 899603332992.

The previous prime is 977693904151. The next prime is 977693904169. The reversal of 977693904161 is 161409396779.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20145544225 + 957548359936 = 141935^2 + 978544^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 977693904161 - 218 = 977693642017 is a prime.

It is a super-2 number, since 2×9776939041612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 977693904094 and 977693904103.

It is not an unprimeable number, because it can be changed into a prime (977693904169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120135266 + ... + 120143403.

It is an arithmetic number, because the mean of its divisors is an integer number (132033129165).

Almost surely, 2977693904161 is an apocalyptic number.

It is an amenable number.

977693904161 is a deficient number, since it is larger than the sum of its proper divisors (78571129159).

977693904161 is a wasteful number, since it uses less digits than its factorization.

977693904161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240278995.

The product of its (nonzero) digits is 15431472, while the sum is 62.

The spelling of 977693904161 in words is "nine hundred seventy-seven billion, six hundred ninety-three million, nine hundred four thousand, one hundred sixty-one".

Divisors: 1 13 313 4069 240278669 3123622697 75207223397 977693904161