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23053662720 = 29365111123
BaseRepresentation
bin10101011110000110…
…101111101000000000
32012111122112102000000
4111132012233220000
5334203214201340
614331332000000
71444201620444
oct253606575000
965448472000
1023053662720
119860212020
124574760000
13223522a75a
141189a9a824
158eddaed30
hex55e1afa00

23053662720 has 560 divisors, whose sum is σ = 90488752992. Its totient is φ = 5583790080.

The previous prime is 23053662691. The next prime is 23053662721. The reversal of 23053662720 is 2726635032.

It is a happy number.

23053662720 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 3 + 6 + 627 + 20 = 666.

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 (23053662721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20528079 + ... + 20529201.

Almost surely, 223053662720 is an apocalyptic number.

23053662720 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 23053662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45244376496).

23053662720 is an abundant number, since it is smaller than the sum of its proper divisors (67435090272).

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

23053662720 is an equidigital number, since it uses as much as digits as its factorization.

23053662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 23053662720 in words is "twenty-three billion, fifty-three million, six hundred sixty-two thousand, seven hundred twenty".