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23128481376 = 253272111373157
BaseRepresentation
bin10101100010100100…
…001001111001100000
32012200212022120220100
4111202210021321200
5334331342401001
614343003342400
71446100563600
oct254244117140
965625276810
1023128481376
119899474420
124595821a00
132247895650
1411959b4c00
1590573d586
hex562909e60

23128481376 has 864 divisors, whose sum is σ = 91697362848. Its totient is φ = 5434490880.

The previous prime is 23128481357. The next prime is 23128481393. The reversal of 23128481376 is 67318482132.

23128481376 is a `hidden beast` number, since 231 + 2 + 8 + 48 + 1 + 376 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147315090 + ... + 147315246.

It is an arithmetic number, because the mean of its divisors is an integer number (106131207).

Almost surely, 223128481376 is an apocalyptic number.

23128481376 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 23128481376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45848681424).

23128481376 is an abundant number, since it is smaller than the sum of its proper divisors (68568881472).

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

23128481376 is a wasteful number, since it uses less digits than its factorization.

23128481376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 23128481376 in words is "twenty-three billion, one hundred twenty-eight million, four hundred eighty-one thousand, three hundred seventy-six".