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132731406885 = 35711297155813
BaseRepresentation
bin111101110011101101…
…0001000101000100101
3110200121021120002110210
41323213122020220211
54133313220010020
6140550450410033
712406131225510
oct1734732105045
9420537502423
10132731406885
11513224675a0
1221883590919
13c693a3671c
1465d2155d77
1536bca4e3e0
hex1ee7688a25

132731406885 has 128 divisors (see below), whose sum is σ = 277766184960. Its totient is φ = 52507929600.

The previous prime is 132731406881. The next prime is 132731406887. The reversal of 132731406885 is 588604137231.

It is not a de Polignac number, because 132731406885 - 22 = 132731406881 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132731406881) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2350239 + ... + 2406051.

It is an arithmetic number, because the mean of its divisors is an integer number (2170048320).

Almost surely, 2132731406885 is an apocalyptic number.

132731406885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132731406885 is an abundant number, since it is smaller than the sum of its proper divisors (145034778075).

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

132731406885 is a wasteful number, since it uses less digits than its factorization.

132731406885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55939.

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 132731406885 in words is "one hundred thirty-two billion, seven hundred thirty-one million, four hundred six thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 71 77 87 105 145 165 203 213 231 319 355 385 435 497 609 781 957 1015 1065 1155 1491 1595 2059 2233 2343 2485 3045 3905 4785 5467 6177 6699 7455 10295 11165 11715 14413 16401 22649 27335 30885 33495 43239 55813 67947 72065 82005 113245 158543 167439 216195 279065 339735 390691 475629 613943 792715 837195 1172073 1618577 1841829 1953455 2378145 3069715 3962723 4297601 4855731 5860365 8092885 9209145 11330039 11888169 12892803 17804347 19813615 21488005 24278655 27739061 33990117 43589953 53413041 56650195 59440845 64464015 83217183 89021735 114918967 124630429 130769859 138695305 169950585 217949765 267065205 305129671 344756901 373891287 416085915 574594835 623152145 653849295 804432769 915389013 1264108637 1525648355 1723784505 1869456435 2413298307 3792325911 4022163845 4576945065 6320543185 8848760459 12066491535 18961629555 26546281377 44243802295 132731406885