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23127276480 = 26357112361223
BaseRepresentation
bin10101100010011111…
…100011101111000000
32012200210001101002120
4111202133203233000
5334331040321410
614342521444240
71446054415020
oct254237435700
965623041076
1023127276480
119898821140
124595340680
1322475630a9
14119577da80
159055a1570
hex5627e3bc0

23127276480 has 896 divisors, whose sum is σ = 97529757696. Its totient is φ = 4501094400.

The previous prime is 23127276451. The next prime is 23127276481. The reversal of 23127276480 is 8467272132.

It is a happy number.

It is a super-2 number, since 2×231272764802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23127276481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103709649 + ... + 103709871.

It is an arithmetic number, because the mean of its divisors is an integer number (108850176).

Almost surely, 223127276480 is an apocalyptic number.

23127276480 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 23127276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48764878848).

23127276480 is an abundant number, since it is smaller than the sum of its proper divisors (74402481216).

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

23127276480 is a wasteful number, since it uses less digits than its factorization.

23127276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 23127276480 in words is "twenty-three billion, one hundred twenty-seven million, two hundred seventy-six thousand, four hundred eighty".