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23155082496 = 283472131753
BaseRepresentation
bin10101100100001001…
…101000010100000000
32012202201101001210000
4111210021220110000
5334410200114441
614345353440000
71446542645100
oct254411502400
965681331700
1023155082496
119902493217
1245a2710000
13225024a560
14119933b200
15907c452b6
hex564268500

23155082496 has 540 divisors, whose sum is σ = 86544356052. Its totient is φ = 6103351296.

The previous prime is 23155082477. The next prime is 23155082501. The reversal of 23155082496 is 69428055132.

23155082496 is a `hidden beast` number, since 2 + 3 + 1 + 550 + 8 + 2 + 4 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1792336896 + 21362745600 = 42336^2 + 146160^2 .

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 13207956 + ... + 13209708.

Almost surely, 223155082496 is an apocalyptic number.

23155082496 is a gapful number since it is divisible by the number (26) 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 23155082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43272178026).

23155082496 is an abundant number, since it is smaller than the sum of its proper divisors (63389273556).

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

23155082496 is a wasteful number, since it uses less digits than its factorization.

23155082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 23155082496 in words is "twenty-three billion, one hundred fifty-five million, eighty-two thousand, four hundred ninety-six".