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11412613520 = 2457211224061
BaseRepresentation
bin10101010000011111…
…01010100110010000
31002110100211211120122
422220033222212100
5141333112113040
65124243525412
7552546420500
oct125017524620
932410754518
1011412613520
114927139500
122266089868
1310cb564269
147a39d9a00
1546bde51b5
hex2a83ea990

11412613520 has 180 divisors, whose sum is σ = 33929008092. Its totient is φ = 3557030400.

The previous prime is 11412613489. The next prime is 11412613561. The reversal of 11412613520 is 2531621411.

It can be written as a sum of positive squares in 2 ways, for example, as 8766951424 + 2645662096 = 93632^2 + 51436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11412613520.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462290 + ... + 486350.

Almost surely, 211412613520 is an apocalyptic number.

11412613520 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 11412613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964504046).

11412613520 is an abundant number, since it is smaller than the sum of its proper divisors (22516394572).

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

11412613520 is a wasteful number, since it uses less digits than its factorization.

11412613520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24110 (or 24086 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 11412613520 in words is "eleven billion, four hundred twelve million, six hundred thirteen thousand, five hundred twenty".