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11323652256 = 253572113263
BaseRepresentation
bin10101000101111000…
…10011100010100000
31002020011110010200000
422202330103202200
5141142323333011
65111345100000
7550416312300
oct124274234240
932204403600
1011323652256
1148909a75a4
122240327600
1310b5cb7067
14795c7d600
154641c1356
hex2a2f138a0

11323652256 has 432 divisors, whose sum is σ = 39339203904. Its totient is φ = 3194505216.

The previous prime is 11323652239. The next prime is 11323652273. The reversal of 11323652256 is 65225632311.

11323652256 is a `hidden beast` number, since 11 + 32 + 365 + 2 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (11323652239) and next prime (11323652273).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11323652256.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43055581 + ... + 43055843.

It is an arithmetic number, because the mean of its divisors is an integer number (91062972).

Almost surely, 211323652256 is an apocalyptic number.

11323652256 is a gapful number since it is divisible by the number (16) 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 11323652256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669601952).

11323652256 is an abundant number, since it is smaller than the sum of its proper divisors (28015551648).

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

11323652256 is a wasteful number, since it uses less digits than its factorization.

11323652256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 11323652256 in words is "eleven billion, three hundred twenty-three million, six hundred fifty-two thousand, two hundred fifty-six".