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23282182944 = 253326946971
BaseRepresentation
bin10101101011101110…
…011110101100100000
32020002120112102211000
4111223232132230200
5340140214323234
614410133552000
71452645201246
oct255356365440
966076472730
1023282182944
119968204709
1246191a5600
13227068c317
1411ac184796
15913e9e899
hex56bb9eb20

23282182944 has 48 divisors (see below), whose sum is σ = 67906369440. Its totient is φ = 7760727360.

The previous prime is 23282182939. The next prime is 23282182999. The reversal of 23282182944 is 44928128232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23282182944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13472622 + ... + 13474349.

It is an arithmetic number, because the mean of its divisors is an integer number (1414716030).

Almost surely, 223282182944 is an apocalyptic number.

23282182944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23282182944 is an abundant number, since it is smaller than the sum of its proper divisors (44624186496).

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

23282182944 is a wasteful number, since it uses less digits than its factorization.

23282182944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26946990 (or 26946976 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 23282182944 in words is "twenty-three billion, two hundred eighty-two million, one hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 26946971 53893942 80840913 107787884 161681826 215575768 242522739 323363652 431151536 485045478 646727304 727568217 862303072 970090956 1293454608 1455136434 1940181912 2586909216 2910272868 3880363824 5820545736 7760727648 11641091472 23282182944