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23532208128 = 21634111331
BaseRepresentation
bin10101111010101000…
…010000000000000000
32020202000000000220000
4111322220100000000
5341143221130003
614451024520000
71462102316532
oct257250200000
966660000800
1023532208128
119a863552a0
124688a80000
1322b0410310
1411d3469852
1592addb1a3
hex57aa10000

23532208128 has 680 divisors, whose sum is σ = 85261161216. Its totient is φ = 6370099200.

The previous prime is 23532208127. The next prime is 23532208213. The reversal of 23532208128 is 82180223532.

It is a happy number.

23532208128 is a `hidden beast` number, since 2 + 3 + 532 + 20 + 81 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23532208092 and 23532208101.

It is not an unprimeable number, because it can be changed into a prime (23532208127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 759103473 + ... + 759103503.

Almost surely, 223532208128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23532208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42630580608).

23532208128 is an abundant number, since it is smaller than the sum of its proper divisors (61728953088).

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

23532208128 is an equidigital number, since it uses as much as digits as its factorization.

23532208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 23532208128 in words is "twenty-three billion, five hundred thirty-two million, two hundred eight thousand, one hundred twenty-eight".