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13787302328 = 23173126912157
BaseRepresentation
bin11001101011100100…
…11000100110111000
31022120212020112012222
430311302120212320
5211214022133303
610200033423212
7665443064462
oct146562304670
938525215188
1013787302328
115935633338
12280940ab08
1313b952a177
1494b14b132
1555a61b938
hex335c989b8

13787302328 has 64 divisors (see below), whose sum is σ = 28362182400. Its totient is φ = 6254991360.

The previous prime is 13787302327. The next prime is 13787302343. The reversal of 13787302328 is 82320378731.

It is a happy number.

13787302328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13787302327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1128026 + ... + 1140182.

It is an arithmetic number, because the mean of its divisors is an integer number (443159100).

Almost surely, 213787302328 is an apocalyptic number.

It is an amenable number.

13787302328 is an abundant number, since it is smaller than the sum of its proper divisors (14574880072).

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

13787302328 is a wasteful number, since it uses less digits than its factorization.

13787302328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480 (or 12476 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 13787302328 in words is "thirteen billion, seven hundred eighty-seven million, three hundred two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 269 527 538 1054 1076 2108 2152 4216 4573 8339 9146 12157 16678 18292 24314 33356 36584 48628 66712 97256 141763 206669 283526 376867 413338 567052 753734 826676 1134104 1507468 1653352 3014936 3270233 6406739 6540466 12813478 13080932 25626956 26161864 51253912 55593961 101377223 111187922 202754446 222375844 405508892 444751688 811017784 1723412791 3446825582 6893651164 13787302328