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132448416506055 = 32513502145092123
BaseRepresentation
bin11110000111011000001100…
…110100010010000011000111
3122100221221111212121212000200
4132013120030310102003013
5114330013324111143210
61145405543524541543
736620040142501056
oct3607301464220307
9570857455555020
10132448416506055
1139225070215a81
1212a314828518b3
1358b9aa8120830
14249c77510639d
15104a4497c60c0
hex78760cd120c7

132448416506055 has 48 divisors (see below), whose sum is σ = 247286290226976. Its totient is φ = 65192386302720.

The previous prime is 132448416506051. The next prime is 132448416506083. The reversal of 132448416506055 is 550605614844231.

132448416506055 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 4 + 84 + 1 + 6 + 506 + 0 + 55 = 666.

It is not a de Polignac number, because 132448416506055 - 22 = 132448416506051 is a prime.

It is a super-2 number, since 2×1324484165060552 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132448416505992 and 132448416506010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132448416506051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19608777 + ... + 25483346.

It is an arithmetic number, because the mean of its divisors is an integer number (5151797713062).

Almost surely, 2132448416506055 is an apocalyptic number.

132448416506055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132448416506055 is a deficient number, since it is larger than the sum of its proper divisors (114837873720921).

132448416506055 is a wasteful number, since it uses less digits than its factorization.

132448416506055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45097168 (or 45097165 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 132448416506055 in words is "one hundred thirty-two trillion, four hundred forty-eight billion, four hundred sixteen million, five hundred six thousand, fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 5021 15063 25105 45189 65273 75315 195819 225945 326365 587457 979095 2937285 45092123 135276369 225460615 405829107 586197599 676381845 1758592797 2029145535 2930987995 5275778391 8792963985 26378891955 226407549583 679222648749 1132037747915 2037667946247 2943298144579 3396113243745 8829894433737 10188339731235 14716490722895 26489683301211 44149472168685 132448416506055