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11941355520 = 213325291117
BaseRepresentation
bin10110001111100001…
…01010000000000000
31010211012202201020200
423013300222000000
5143423441334040
65252532405200
7601626563403
oct130760520000
933735681220
1011941355520
115078647166
122393176800
131183c70853
14813d13d3a
1549d539630
hex2c7c2a000

11941355520 has 336 divisors, whose sum is σ = 42859893960. Its totient is φ = 3071803392.

The previous prime is 11941355507. The next prime is 11941355539. The reversal of 11941355520 is 2555314911.

It is a happy number.

11941355520 is a `hidden beast` number, since 1 + 1 + 94 + 13 + 5 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6533812224 + 5407543296 = 80832^2 + 73536^2 .

It is a super-4 number, since 4×119413555204 (a number of 41 digits) contains 4444 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 10690002 + ... + 10691118.

Almost surely, 211941355520 is an apocalyptic number.

11941355520 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 11941355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21429946980).

11941355520 is an abundant number, since it is smaller than the sum of its proper divisors (30918538440).

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

11941355520 is a wasteful number, since it uses less digits than its factorization.

11941355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11941355520 in words is "eleven billion, nine hundred forty-one million, three hundred fifty-five thousand, five hundred twenty".