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46136107974705 = 35719114712016029
BaseRepresentation
bin10100111110101111001100…
…10100111100000000110001
320001100120100200122001221220
422133113212110330000301
522021343222120142310
6242042345125335253
712501136523205540
oct1237274624740061
9201316320561856
1046136107974705
1113778239205431
1252115a1267529
131c988020713a8
14b56ddca4c157
1555018cd7d670
hex29f5e653c031

46136107974705 has 64 divisors (see below), whose sum is σ = 88811121254400. Its totient is φ = 19978998762240.

The previous prime is 46136107974643. The next prime is 46136107974727. The reversal of 46136107974705 is 50747970163164.

It is a happy number.

46136107974705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46136107974705 - 216 = 46136107909169 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21876631 + ... + 23892659.

It is an arithmetic number, because the mean of its divisors is an integer number (1387673769600).

Almost surely, 246136107974705 is an apocalyptic number.

It is an amenable number.

46136107974705 is a deficient number, since it is larger than the sum of its proper divisors (42675013279695).

46136107974705 is a wasteful number, since it uses less digits than its factorization.

46136107974705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027534.

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 46136107974705 in words is "forty-six trillion, one hundred thirty-six billion, one hundred seven million, nine hundred seventy-four thousand, seven hundred five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 285 399 665 1995 11471 34413 57355 80297 172065 217949 240891 401485 653847 1089745 1204455 1525643 2016029 3269235 4576929 6048087 7628215 10080145 14112203 22884645 30240435 38304551 42336609 70561015 114913653 191522755 211683045 268131857 574568265 804395571 1340659285 4021977855 23125868659 69377605977 115629343295 161881080613 346888029885 439391504521 485643241839 809405403065 1318174513563 2196957522605 2428216209195 3075740531647 6590872567815 9227221594941 15378702658235 46136107974705