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11977407972 = 22322911472613
BaseRepresentation
bin10110010011110100…
…01011110111100100
31010220201121100220200
423021322023313210
5144012204023342
65300301230500
7602545200525
oct131172136744
933821540820
1011977407972
115096a30982
1223a3262430
13118b58466a
14818a1a84c
154a17ab94c
hex2c9e8bde4

11977407972 has 36 divisors (see below), whose sum is σ = 31320236220. Its totient is φ = 3854797632.

The previous prime is 11977407901. The next prime is 11977407983. The reversal of 11977407972 is 27970477911.

It can be written as a sum of positive squares in 2 ways, for example, as 3748378176 + 8229029796 = 61224^2 + 90714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 5735263 + ... + 5737350.

Almost surely, 211977407972 is an apocalyptic number.

11977407972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11977407972 is an abundant number, since it is smaller than the sum of its proper divisors (19342828248).

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

11977407972 is a wasteful number, since it uses less digits than its factorization.

11977407972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472652 (or 11472647 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 54.

The spelling of 11977407972 in words is "eleven billion, nine hundred seventy-seven million, four hundred seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 11472613 22945226 34417839 45890452 68835678 103253517 137671356 206507034 332705777 413014068 665411554 998117331 1330823108 1996234662 2994351993 3992469324 5988703986 11977407972