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136397904928 = 25295319314369
BaseRepresentation
bin111111100000111110…
…0101101110000100000
3111001001210201111020121
41333001330231300200
54213320330424203
6142354344250024
712566032030255
oct1770174556040
9431053644217
10136397904928
115293407486a
1222527470914
13cb2952a3ac
14685d09542c
1538348990bd
hex1fc1f2dc20

136397904928 has 96 divisors (see below), whose sum is σ = 284520826800. Its totient is φ = 64265650176.

The previous prime is 136397904913. The next prime is 136397904947. The reversal of 136397904928 is 829409793631.

It can be written as a sum of positive squares in 8 ways, for example, as 74151646864 + 62246258064 = 272308^2 + 249492^2 .

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 15 ways as a sum of consecutive naturals, for example, 9485328 + ... + 9499696.

Almost surely, 2136397904928 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 136397904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142260413400).

136397904928 is an abundant number, since it is smaller than the sum of its proper divisors (148122921872).

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

136397904928 is a wasteful number, since it uses less digits than its factorization.

136397904928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14654 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 136397904928 in words is "one hundred thirty-six billion, three hundred ninety-seven million, nine hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 193 212 232 386 424 464 772 848 928 1537 1544 1696 3074 3088 5597 6148 6176 10229 11194 12296 14369 20458 22388 24592 28738 40916 44776 49184 57476 81832 89552 114952 163664 179104 229904 296641 327328 416701 459808 593282 761557 833402 1186564 1523114 1666804 2373128 2773217 3046228 3333608 4746256 5546434 6092456 6667216 9492512 11092868 12184912 13334432 22085153 22185736 24369824 44170306 44371472 80423293 88340612 88742944 146980501 160846586 176681224 293961002 321693172 353362448 587922004 643386344 706724896 1175844008 1286772688 2351688016 2573545376 4262434529 4703376032 8524869058 17049738116 34099476232 68198952464 136397904928