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23322478752 = 253280980829
BaseRepresentation
bin10101101110001000…
…001100100010100000
32020012101100200021100
4111232020030202200
5340231023310002
614414133354400
71453644540606
oct255610144240
966171320240
1023322478752
119988a27531
12462a798a00
132278b2a6b1
1411b3673876
159177ae11c
hex56e20c8a0

23322478752 has 36 divisors (see below), whose sum is σ = 66323299770. Its totient is φ = 7774159488.

The previous prime is 23322478741. The next prime is 23322478783. The reversal of 23322478752 is 25787422332.

23322478752 is a `hidden beast` number, since 2 + 332 + 247 + 8 + 75 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22525207056 + 797271696 = 150084^2 + 28236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 23322478698 and 23322478707.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 40490127 + ... + 40490702.

Almost surely, 223322478752 is an apocalyptic number.

It is an amenable number.

23322478752 is an abundant number, since it is smaller than the sum of its proper divisors (43000821018).

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

23322478752 is a wasteful number, since it uses less digits than its factorization.

23322478752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80980845 (or 80980834 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 23322478752 in words is "twenty-three billion, three hundred twenty-two million, four hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80980829 161961658 242942487 323923316 485884974 647846632 728827461 971769948 1295693264 1457654922 1943539896 2591386528 2915309844 3887079792 5830619688 7774159584 11661239376 23322478752