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13682657648 = 2411711094963
BaseRepresentation
bin11001011111000110…
…01100100101110000
31022022120100000201002
430233203030211300
5211010230021043
610141414501132
7663032446112
oct145743144560
938276300632
1013682657648
11589155a230
12279a3647a8
1313a094b53a
1493b2ab3b2
1555134abb8
hex32f8cc970

13682657648 has 40 divisors (see below), whose sum is σ = 29327515776. Its totient is φ = 6131787200.

The previous prime is 13682657629. The next prime is 13682657669. The reversal of 13682657648 is 84675628631.

13682657648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13682657593 and 13682657602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534986 + ... + 559977.

Almost surely, 213682657648 is an apocalyptic number.

It is an amenable number.

13682657648 is an abundant number, since it is smaller than the sum of its proper divisors (15644858128).

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

13682657648 is a wasteful number, since it uses less digits than its factorization.

13682657648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095053 (or 1095047 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 56.

The spelling of 13682657648 in words is "thirteen billion, six hundred eighty-two million, six hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 12496 1094963 2189926 4379852 8759704 12044593 17519408 24089186 48178372 77742373 96356744 155484746 192713488 310969492 621938984 855166103 1243877968 1710332206 3420664412 6841328824 13682657648