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10979120232 = 2332152487781
BaseRepresentation
bin10100011100110100…
…00001010001101000
31001100011011002120200
422032122001101220
5134441123321412
65013240352200
7536033660613
oct121632012150
931304132520
1010979120232
114724477593
122164a75660
13105c7c6962
147621d717a
15443d179dc
hex28e681468

10979120232 has 24 divisors (see below), whose sum is σ = 29735117490. Its totient is φ = 3659706720.

The previous prime is 10979120203. The next prime is 10979120233. The reversal of 10979120232 is 23202197901.

It can be written as a sum of positive squares in only one way, i.e., 6718425156 + 4260695076 = 81966^2 + 65274^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10979120233) 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 5 ways as a sum of consecutive naturals, for example, 76243819 + ... + 76243962.

Almost surely, 210979120232 is an apocalyptic number.

10979120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10979120232 is an abundant number, since it is smaller than the sum of its proper divisors (18755997258).

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

10979120232 is a wasteful number, since it uses less digits than its factorization.

10979120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152487793 (or 152487786 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10979120232 in words is "ten billion, nine hundred seventy-nine million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 152487781 304975562 457463343 609951124 914926686 1219902248 1372390029 1829853372 2744780058 3659706744 5489560116 10979120232