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10909145520 = 243257133141131
BaseRepresentation
bin10100010100011110…
…00101100110110000
31001011021111000022200
422022033011212300
5134320220124040
65002300503200
7534224130660
oct121217054660
931137430280
1010909145520
114698a23549
12214554ab00
13104b1667c0
14756bc01a0
1543cae4630
hex28a3c59b0

10909145520 has 960 divisors, whose sum is σ = 48044924928. Its totient is φ = 2156544000.

The previous prime is 10909145519. The next prime is 10909145549. The reversal of 10909145520 is 2554190901.

10909145520 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 91 + 45 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83275855 + ... + 83275985.

Almost surely, 210909145520 is an apocalyptic number.

10909145520 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 10909145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022462464).

10909145520 is an abundant number, since it is smaller than the sum of its proper divisors (37135779408).

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

10909145520 is a wasteful number, since it uses less digits than its factorization.

10909145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10909145520 in words is "ten billion, nine hundred nine million, one hundred forty-five thousand, five hundred twenty".