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23960772000 = 2538531183
BaseRepresentation
bin10110010100001011…
…000101110110100000
32021211212102100000000
4112110023011312200
5343032424201000
615001334300000
71505525126064
oct262413056640
967755370000
1023960772000
11a18625a710
1247884b7600
13234b142cc9
141234347aa4
15953843000
hex5942c5da0

23960772000 has 864 divisors, whose sum is σ = 97491086784. Its totient is φ = 5738688000.

The previous prime is 23960771983. The next prime is 23960772029. The reversal of 23960772000 is 27706932.

23960772000 is a `hidden beast` number, since 23 + 9 + 607 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 288683959 + ... + 288684041.

It is an arithmetic number, because the mean of its divisors is an integer number (112836906).

Almost surely, 223960772000 is an apocalyptic number.

23960772000 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 23960772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48745543392).

23960772000 is an abundant number, since it is smaller than the sum of its proper divisors (73530314784).

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

23960772000 is an frugal number, since it uses more digits than its factorization.

23960772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 23960772000 in words is "twenty-three billion, nine hundred sixty million, seven hundred seventy-two thousand".