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23350965120 = 273457229281
BaseRepresentation
bin10101101111110100…
…110111001110000000
32020021100221221020000
4111233310313032000
5340310321340440
614421032120000
71454441633340
oct255764671600
966240857200
1023350965120
1199a301378a
124638236000
1322819c2732
1411b736ad20
1591a039730
hex56fd37380

23350965120 has 640 divisors, whose sum is σ = 96060254400. Its totient is φ = 5295144960.

The previous prime is 23350965083. The next prime is 23350965139. The reversal of 23350965120 is 2156905332.

23350965120 is a `hidden beast` number, since 2 + 3 + 3 + 50 + 96 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×233509651202 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83099380 + ... + 83099660.

Almost surely, 223350965120 is an apocalyptic number.

23350965120 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 23350965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48030127200).

23350965120 is an abundant number, since it is smaller than the sum of its proper divisors (72709289280).

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

23350965120 is a wasteful number, since it uses less digits than its factorization.

23350965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 23350965120 in words is "twenty-three billion, three hundred fifty million, nine hundred sixty-five thousand, one hundred twenty".