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23275296000 = 283353113179
BaseRepresentation
bin10101101011010100…
…001101010100000000
32020002002120112201000
4111223110031110000
5340131433433000
614405330212000
71452532515555
oct255324152400
966062515630
1023275296000
119964330420
124616a24000
13226c11a6c8
1411ab2b0a2c
1591358e000
hex56b50d500

23275296000 has 1152 divisors, whose sum is σ = 97955020800. Its totient is φ = 5391360000.

The previous prime is 23275295951. The next prime is 23275296043. The reversal of 23275296000 is 69257232.

23275296000 is a `hidden beast` number, since 2 + 3 + 27 + 5 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 294623961 + ... + 294624039.

It is an arithmetic number, because the mean of its divisors is an integer number (85030400).

Almost surely, 223275296000 is an apocalyptic number.

23275296000 is a gapful number since it is divisible by the number (20) 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 23275296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48977510400).

23275296000 is an abundant number, since it is smaller than the sum of its proper divisors (74679724800).

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

23275296000 is a wasteful number, since it uses less digits than its factorization.

23275296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 23275296000 in words is "twenty-three billion, two hundred seventy-five million, two hundred ninety-six thousand".