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13788063952 = 241366288769
BaseRepresentation
bin11001101011101010…
…10010100011010000
31022120220200012222021
430311311102203100
5211214221021302
610200102021224
7665452416115
oct146565224320
938526605867
1013788063952
115936003583
122809717814
1313b9735a30
1494b2a890c
1555a71c437
hex335d528d0

13788063952 has 20 divisors (see below), whose sum is σ = 28769326180. Its totient is φ = 6363721728.

The previous prime is 13788063937. The next prime is 13788063983. The reversal of 13788063952 is 25936088731.

It can be written as a sum of positive squares in 2 ways, for example, as 6931561536 + 6856502416 = 83256^2 + 82804^2 .

It is a super-2 number, since 2×137880639522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 13788063952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33144177 + ... + 33144592.

It is an arithmetic number, because the mean of its divisors is an integer number (1438466309).

Almost surely, 213788063952 is an apocalyptic number.

It is an amenable number.

13788063952 is an abundant number, since it is smaller than the sum of its proper divisors (14981262228).

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

13788063952 is a wasteful number, since it uses less digits than its factorization.

13788063952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66288790 (or 66288784 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 13788063952 in words is "thirteen billion, seven hundred eighty-eight million, sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 66288769 132577538 265155076 530310152 861753997 1060620304 1723507994 3447015988 6894031976 13788063952