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132012358058544 = 24341320934336089
BaseRepresentation
bin11110000001000010000101…
…101101010100001000110000
3122022102020222012201120001220
4132001002011231110020300
5114300342302130333134
61144433350131025040
736543402204032655
oct3601020555241060
9568366865646056
10132012358058544
1139077143629337
1212980a6773b180
1358879341c9222
14248560a033c2c
15103de27473149
hex781085b54230

132012358058544 has 160 divisors (see below), whose sum is σ = 349617844900800. Its totient is φ = 42897922129920.

The previous prime is 132012358058431. The next prime is 132012358058569. The reversal of 132012358058544 is 445850853210231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21680463052 + ... + 21680469140.

It is an arithmetic number, because the mean of its divisors is an integer number (2185111530630).

Almost surely, 2132012358058544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132012358058544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174808922450400).

132012358058544 is an abundant number, since it is smaller than the sum of its proper divisors (217605486842256).

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

132012358058544 is a wasteful number, since it uses less digits than its factorization.

132012358058544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12783 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 132012358058544 in words is "one hundred thirty-two trillion, twelve billion, three hundred fifty-eight million, fifty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 3209 3433 6089 6418 6866 9627 10299 12178 12836 13732 18267 19254 20598 24356 25672 27464 36534 38508 41196 48712 51344 54928 73068 77016 82392 97424 131569 140753 146136 154032 164784 249649 263138 281506 292272 394707 422259 499298 526276 563012 748947 789414 844518 998596 1052552 1126024 1497894 1578828 1689036 1997192 2105104 2252048 2995788 3157656 3378072 3994384 5991576 6315312 6756144 11016497 11983152 19539601 20903537 22032994 33049491 39079202 41807074 44065988 58618803 62710611 66098982 78158404 83614148 88131976 117237606 125421222 132197964 156316808 167228296 176263952 234475212 250842444 264395928 312633616 334456592 451676377 468950424 501684888 528791856 801123641 857045017 903352754 937900848 1003369776 1355029131 1602247282 1714090034 1806705508 2403370923 2571135051 2710058262 3204494564 3428180068 3613411016 4806741846 5142270102 5420116524 6408989128 6856360136 7226822032 9613483692 10284540204 10840233048 12817978256 13712720272 19226967384 20569080408 21680466096 38453934768 41138160816 67079450233 134158900466 201238350699 268317800932 402476701398 536635601864 804953402796 1073271203728 1609906805592 2750257459553 3219813611184 5500514919106 8250772378659 11001029838212 16501544757318 22002059676424 33003089514636 44004119352848 66006179029272 132012358058544