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11888220960 = 253557112192
BaseRepresentation
bin10110001001001011…
…11101101100100000
31010200111210012100000
423010211331230200
5143321341032320
65243353500000
7600413132220
oct130445755440
933614705300
1011888220960
115050655400
122379411600
131175c58795
1480ac42080
15498a40c90
hex2c497db20

11888220960 has 1296 divisors, whose sum is σ = 55777595328. Its totient is φ = 2340264960.

The previous prime is 11888220899. The next prime is 11888221003. The reversal of 11888220960 is 6902288811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 625695831 + ... + 625695849.

It is an arithmetic number, because the mean of its divisors is an integer number (43038268).

Almost surely, 211888220960 is an apocalyptic number.

11888220960 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 11888220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888797664).

11888220960 is an abundant number, since it is smaller than the sum of its proper divisors (43889374368).

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

11888220960 is a wasteful number, since it uses less digits than its factorization.

11888220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11888220960 in words is "eleven billion, eight hundred eighty-eight million, two hundred twenty thousand, nine hundred sixty".