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23970328704 = 27357891237
BaseRepresentation
bin10110010100101111…
…100011000010000000
32021212112101212100000
4112110233203002000
5343042401004304
615002315200000
71506002301150
oct262457430200
967775355300
1023970328704
11a190697813
12478b746000
13235010ab6a
141235714760
159545ce939
hex594be3080

23970328704 has 384 divisors, whose sum is σ = 82736035200. Its totient is φ = 6766239744.

The previous prime is 23970328699. The next prime is 23970328747. The reversal of 23970328704 is 40782307932.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 23970328704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19377174 + ... + 19378410.

It is an arithmetic number, because the mean of its divisors is an integer number (215458425).

Almost surely, 223970328704 is an apocalyptic number.

23970328704 is a gapful number since it is divisible by the number (24) 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 23970328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368017600).

23970328704 is an abundant number, since it is smaller than the sum of its proper divisors (58765706496).

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

23970328704 is an equidigital number, since it uses as much as digits as its factorization.

23970328704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 23970328704 in words is "twenty-three billion, nine hundred seventy million, three hundred twenty-eight thousand, seven hundred four".