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129558073640164 = 22132432101812
BaseRepresentation
bin11101011101010100010110…
…111101010000010011100100
3121222201122000220121011100221
4131131110112331100103210
5113440134413322441124
61135314053554214124
736201155561502301
oct3535242675202344
9558648026534327
10129558073640164
11383102a7aa8174
1212645280884344
13573a373a61900
1423dc903a620a8
15eea181eeece4
hex75d516f504e4

129558073640164 has 81 divisors (see below), whose sum is σ = 251375691357819. Its totient is φ = 58399691837760.

The previous prime is 129558073640153. The next prime is 129558073640173. The reversal of 129558073640164 is 461046370855921.

The square root of 129558073640164 is 11382358.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10778417302500 + 118779656337664 = 3283050^2 + 10898608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12725471154 + ... + 12725481334.

It is a 2-persistent number, because it is pandigital, and so is 2⋅129558073640164 = 259116147280328, but 3⋅129558073640164 = 388674220920492 is not.

Almost surely, 2129558073640164 is an apocalyptic number.

129558073640164 is the 11382358-th square number.

It is an amenable number.

129558073640164 is a deficient number, since it is larger than the sum of its proper divisors (121817617717655).

129558073640164 is an frugal number, since it uses more digits than its factorization.

129558073640164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20478 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 129558073640164 in words is "one hundred twenty-nine trillion, five hundred fifty-eight billion, seventy-three million, six hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 43 52 86 169 172 338 559 676 1118 1849 2236 3698 7267 7396 10181 14534 20362 24037 29068 40724 48074 96148 132353 264706 312481 437783 529412 624962 875566 1249924 1720589 1751132 3441178 5691179 6882356 11382358 18824669 22764716 37649338 73985327 75298676 103652761 147970654 207305522 244720697 295941308 414611044 489441394 978882788 1347485893 2694971786 3181369061 4457068723 5389943572 6362738122 8914137446 12725476244 17517316609 17828274892 35034633218 57941893399 70069266436 115883786798 191653955089 231767573596 383307910178 753244614187 766615820356 1506489228374 2491501416157 3012978456748 4983002832314 9966005664628 32389518410041 64779036820082 129558073640164