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11063872512 = 210337115197
BaseRepresentation
bin10100100110111010…
…10100110000000000
31001120001121221212000
422103131110300000
5140124322410022
65025505104000
7541113236040
oct122335246000
931501557760
1011063872512
1147682a41a0
122189328000
13107422c134
1476d579720
1544b4a96ac
hex293754c00

11063872512 has 352 divisors, whose sum is σ = 40858775040. Its totient is φ = 2873180160.

The previous prime is 11063872507. The next prime is 11063872513. The reversal of 11063872512 is 21527836011.

11063872512 is a `hidden beast` number, since 1 + 1 + 0 + 63 + 87 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11063872513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126298 + ... + 2131494.

Almost surely, 211063872512 is an apocalyptic number.

11063872512 is a gapful number since it is divisible by the number (12) 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 11063872512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429387520).

11063872512 is an abundant number, since it is smaller than the sum of its proper divisors (29794902528).

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

11063872512 is a wasteful number, since it uses less digits than its factorization.

11063872512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11063872512 in words is "eleven billion, sixty-three million, eight hundred seventy-two thousand, five hundred twelve".