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132116425542045 = 32572714391352463
BaseRepresentation
bin11110000010100011000000…
…100111010000100110011101
3122022210012120212001110201200
4132002203000213100212131
5114304043414414321140
61144553240434230113
736554045121040650
oct3602430047204635
9568705525043650
10132116425542045
1139107296a4aa4a
121299906b725339
1358946aa5c7629
14248a67d373897
1510419b8813030
hex7828c09d099d

132116425542045 has 96 divisors (see below), whose sum is σ = 262742659006464. Its totient is φ = 60159342038400.

The previous prime is 132116425542029. The next prime is 132116425542061. The reversal of 132116425542045 is 540245524611231.

132116425542045 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 64 + 2 + 5 + 542 + 0 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (132116425542029) and next prime (132116425542061).

It is not a de Polignac number, because 132116425542045 - 24 = 132116425542029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374661484 + ... + 375013946.

It is an arithmetic number, because the mean of its divisors is an integer number (2736902697984).

Almost surely, 2132116425542045 is an apocalyptic number.

132116425542045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132116425542045 is a deficient number, since it is larger than the sum of its proper divisors (130626233464419).

132116425542045 is a wasteful number, since it uses less digits than its factorization.

132116425542045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357143 (or 357140 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 132116425542045 in words is "one hundred thirty-two trillion, one hundred sixteen billion, four hundred twenty-five million, five hundred forty-two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 271 315 813 1355 1897 2439 4065 4391 5691 9485 12195 13173 17073 21955 28455 30737 39519 65865 85365 92211 153685 197595 276633 352463 461055 1057389 1189961 1383165 1762315 2467241 3172167 3569883 5286945 5949805 7401723 8329727 10709649 12336205 15860835 17849415 22205169 24989181 37008615 41648635 53548245 74967543 95517473 111025845 124945905 286552419 374837715 477587365 668622311 859657257 1432762095 1547665033 2005866933 3343111555 4298286285 4642995099 6017600799 7738325165 10029334665 10833655231 13928985297 23214975495 30088003995 32500965693 54168276155 69644926485 97502897079 162504828465 419417223943 487514485395 1258251671829 2097086119715 2935920567601 3774755015487 6291258359145 8807761702803 14679602838005 18873775077435 26423285108409 44038808514015 132116425542045