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12943738624 = 28735711213
BaseRepresentation
bin11000000111000000…
…11100011100000000
31020102001221001100211
430003200130130000
5203002044113444
65540221123504
7635520651205
oct140340343400
936361831324
1012943738624
115542448453
1226129b9594
1312b383364b
148ab0c1cac
1550b53bc34
hex30381c700

12943738624 has 72 divisors (see below), whose sum is σ = 26258344112. Its totient is φ = 6366781440.

The previous prime is 12943738607. The next prime is 12943738637. The reversal of 12943738624 is 42683734921.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10670242 + ... + 10671454.

Almost surely, 212943738624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12943738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129172056).

12943738624 is an abundant number, since it is smaller than the sum of its proper divisors (13314605488).

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

12943738624 is an equidigital number, since it uses as much as digits as its factorization.

12943738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1859 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The spelling of 12943738624 in words is "twelve billion, nine hundred forty-three million, seven hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 571 584 1142 1168 1213 2284 2336 2426 4568 4672 4852 9136 9344 9704 18272 18688 19408 36544 38816 41683 73088 77632 83366 88549 146176 155264 166732 177098 310528 333464 354196 666928 692623 708392 1333856 1385246 1416784 2667712 2770492 2833568 5335424 5540984 5667136 10670848 11081968 11334272 22163936 22668544 44327872 50561479 88655744 101122958 177311488 202245916 404491832 808983664 1617967328 3235934656 6471869312 12943738624