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72315770636106 = 23219292251426423
BaseRepresentation
bin10000011100010101010011…
…110100100000011101001010
3100111001022122101121222012100
4100130111103310200131022
533434310144240323411
6413445223441054230
721142433132200404
oct2034252364403512
9314038571558170
1072315770636106
1121050a4528a568
12813b345327376
13314746a4872ca
1413c015db61b74
1585617496d456
hex41c553d2074a

72315770636106 has 72 divisors (see below), whose sum is σ = 170814083937120. Its totient is φ = 22049091503712.

The previous prime is 72315770636089. The next prime is 72315770636141. The reversal of 72315770636106 is 60163607751327.

72315770636106 is a `hidden beast` number, since 7 + 2 + 3 + 1 + 577 + 0 + 6 + 3 + 61 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125425590 + ... + 126000833.

It is an arithmetic number, because the mean of its divisors is an integer number (2372417832460).

Almost surely, 272315770636106 is an apocalyptic number.

72315770636106 is an abundant number, since it is smaller than the sum of its proper divisors (98498313301014).

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

72315770636106 is a wasteful number, since it uses less digits than its factorization.

72315770636106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251426508 (or 251426476 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 72315770636106 in words is "seventy-two trillion, three hundred fifteen billion, seven hundred seventy million, six hundred thirty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 841 1102 1653 1682 2523 3306 4959 5046 7569 9918 15138 15979 31958 47937 95874 143811 287622 251426423 502852846 754279269 1508558538 2262837807 4525675614 4777102037 7291366267 9554204074 14331306111 14582732534 21874098801 28662612222 42993918333 43748197602 65622296403 85987836666 131244592806 138535959073 211449621743 277071918146 415607877219 422899243486 634348865229 831215754438 1246823631657 1268697730458 1903046595687 2493647263314 3806093191374 4017542813117 8035085626234 12052628439351 24105256878702 36157885318053 72315770636106