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11979371520 = 2103252389127
BaseRepresentation
bin10110010100000011…
…01011010000000000
31010220212022010101200
423022001223100000
5144013204342040
65300411301200
7602600656254
oct131201532000
933825263350
1011979371520
115098052146
1223a3a4a800
13118bac131c
14818dac264
154a1a48630
hex2ca06b400

11979371520 has 528 divisors, whose sum is σ = 44144455680. Its totient is φ = 2997485568.

The previous prime is 11979371471. The next prime is 11979371527. The reversal of 11979371520 is 2517397911.

It is a happy number.

11979371520 is a `hidden beast` number, since 1 + 1 + 97 + 9 + 37 + 1 + 520 = 666.

It is a super-2 number, since 2×119793715202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11979371527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94325697 + ... + 94325823.

Almost surely, 211979371520 is an apocalyptic number.

11979371520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11979371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22072227840).

11979371520 is an abundant number, since it is smaller than the sum of its proper divisors (32165084160).

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

11979371520 is a wasteful number, since it uses less digits than its factorization.

11979371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 11979371520 in words is "eleven billion, nine hundred seventy-nine million, three hundred seventy-one thousand, five hundred twenty".