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132225114653046 = 232292183911598737
BaseRepresentation
bin11110000100001000001110…
…111111010100000101110110
3122100011121010120210101110100
4132010020032333110011312
5114312334013322344141
61145115213515134530
736564643414166412
oct3604101677240566
9570147116711410
10132225114653046
11391493a1135818
12129b6143444446
1358a1a0c34616c
142491a303ddd42
15104472a7b90b6
hex78420efd4176

132225114653046 has 48 divisors (see below), whose sum is σ = 296380232366400. Its totient is φ = 42553257057024.

The previous prime is 132225114653011. The next prime is 132225114653083. The reversal of 132225114653046 is 640356411522231.

132225114653046 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 511 + 4 + 65 + 30 + 46 = 666.

It is a super-2 number, since 2×1322251146530462 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132225114652992 and 132225114653010.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5600590 + ... + 17199326.

It is an arithmetic number, because the mean of its divisors is an integer number (6174588174300).

Almost surely, 2132225114653046 is an apocalyptic number.

132225114653046 is an abundant number, since it is smaller than the sum of its proper divisors (164155117713354).

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

132225114653046 is a wasteful number, since it uses less digits than its factorization.

132225114653046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620613 (or 11620610 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 132225114653046 in words is "one hundred thirty-two trillion, two hundred twenty-five billion, one hundred fourteen million, six hundred fifty-three thousand, forty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 21839 43678 65517 131034 196551 393102 633331 1266662 1899993 3799986 5699979 11399958 11598737 23197474 34796211 69592422 104388633 208777266 336363373 672726746 1009090119 2018180238 3027270357 6054540714 253304817343 506609634686 759914452029 1519828904058 2279743356087 4559486712174 7345839702947 14691679405894 22037519108841 44075038217682 66112557326523 132225114653046