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11913063120 = 24335729101269
BaseRepresentation
bin10110001100001001…
…01110101011010000
31010202020112022101000
423012010232223100
5143344221004440
65250042142000
7601134236310
oct130604565320
933666468330
1011913063120
115063682712
1223857b1900
13117b145b9a
1481026b440
1549aceb730
hex2c612ead0

11913063120 has 640 divisors, whose sum is σ = 49175424000. Its totient is φ = 2593382400.

The previous prime is 11913063109. The next prime is 11913063133. The reversal of 11913063120 is 2136031911.

11913063120 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 3 + 0 + 631 + 20 = 666.

It is a super-2 number, since 2×119130631202 (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44286346 + ... + 44286614.

It is an arithmetic number, because the mean of its divisors is an integer number (76836600).

Almost surely, 211913063120 is an apocalyptic number.

11913063120 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 11913063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24587712000).

11913063120 is an abundant number, since it is smaller than the sum of its proper divisors (37262360880).

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

11913063120 is a wasteful number, since it uses less digits than its factorization.

11913063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11913063120 in words is "eleven billion, nine hundred thirteen million, sixty-three thousand, one hundred twenty".