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132443161552272 = 24329302113149381
BaseRepresentation
bin11110000111010011010011…
…100110001110010110010000
3122100221102221122111112121210
4132013103103212032112100
5114324422043324133042
61145403314245020120
736616463003230104
oct3607232346162620
9570842848445553
10132443161552272
1139222913a0146a
1212a304569b4640
1358b944b50681c
14249c3d7239904
15104a23d2aca9c
hex7874d398e590

132443161552272 has 80 divisors (see below), whose sum is σ = 353954759820480. Its totient is φ = 42623960870400.

The previous prime is 132443161552271. The next prime is 132443161552279. The reversal of 132443161552272 is 272255161344231.

It is a super-2 number, since 2×1324431615522722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (132443161552271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40479022 + ... + 43628402.

It is an arithmetic number, because the mean of its divisors is an integer number (4424434497756).

Almost surely, 2132443161552272 is an apocalyptic number.

132443161552272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132443161552272 is an abundant number, since it is smaller than the sum of its proper divisors (221511598268208).

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

132443161552272 is a wasteful number, since it uses less digits than its factorization.

132443161552272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179632 (or 3179626 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 132443161552272 in words is "one hundred thirty-two trillion, four hundred forty-three billion, one hundred sixty-one million, five hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 30211 60422 90633 120844 181266 241688 362532 483376 725064 876119 1450128 1752238 2628357 3149381 3504476 5256714 6298762 7008952 9448143 10513428 12597524 14017904 18896286 21026856 25195048 37792572 42053712 50390096 75585144 91332049 151170288 182664098 273996147 365328196 547992294 730656392 1095984588 1461312784 2191969176 4383938352 95145949391 190291898782 285437848173 380583797564 570875696346 761167595128 1141751392692 1522335190256 2283502785384 2759232532339 4567005570768 5518465064678 8277697597017 11036930129356 16555395194034 22073860258712 33110790388068 44147720517424 66221580776136 132443161552272