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11015053920 = 2535513193137
BaseRepresentation
bin10100100001000110…
…00110001001100000
31001102122202201100000
422100203012021200
5140024323211140
65021002500000
7536651261553
oct122043061140
931378681300
1011015053920
114742790052
122174b04600
1310670986b0
14766cac69a
15447064a30
hex2908c6260

11015053920 has 1152 divisors, whose sum is σ = 46847324160. Its totient is φ = 2418647040.

The previous prime is 11015053909. The next prime is 11015053937. The reversal of 11015053920 is 2935051011.

11015053920 is a `hidden beast` number, since 1 + 101 + 5 + 0 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 297704142 + ... + 297704178.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 211015053920 is an apocalyptic number.

11015053920 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 11015053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23423662080).

11015053920 is an abundant number, since it is smaller than the sum of its proper divisors (35832270240).

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

11015053920 is a wasteful number, since it uses less digits than its factorization.

11015053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 11015053920 in words is "eleven billion, fifteen million, fifty-three thousand, nine hundred twenty".