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23358025728 = 21234233061
BaseRepresentation
bin10101110000001111…
…110011000000000000
32020021212020122120000
4111300033303000000
5340314123310403
614421443320000
71454555641242
oct256017630000
966255218500
1023358025728
1199a6aa64a4
12463a680000
1322832c53cb
1411b8288092
1591a9817a3
hex5703f3000

23358025728 has 260 divisors, whose sum is σ = 72834765168. Its totient is φ = 7445053440.

The previous prime is 23358025697. The next prime is 23358025729. The reversal of 23358025728 is 82752085332.

23358025728 is a `hidden beast` number, since 23 + 3 + 58 + 0 + 2 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (23358025729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7629318 + ... + 7632378.

Almost surely, 223358025728 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 23358025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36417382584).

23358025728 is an abundant number, since it is smaller than the sum of its proper divisors (49476739440).

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

23358025728 is an equidigital number, since it uses as much as digits as its factorization.

23358025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 23358025728 in words is "twenty-three billion, three hundred fifty-eight million, twenty-five thousand, seven hundred twenty-eight".