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132376590036 = 223310311900089
BaseRepresentation
bin111101101001001000…
…0100111011011010100
3110122200112220112021000
41323102100213123110
54132101401340121
6140451333423300
712364262310165
oct1732220473324
9418615815230
10132376590036
1151160152429
12217a479ab30
13c638384c22
14659ad9376c
15369b813526
hex1ed24276d4

132376590036 has 48 divisors (see below), whose sum is σ = 346530620800. Its totient is φ = 43697123136.

The previous prime is 132376590019. The next prime is 132376590037. The reversal of 132376590036 is 630095673231.

132376590036 is a `hidden beast` number, since 1 + 3 + 23 + 7 + 6 + 590 + 0 + 36 = 666.

132376590036 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132376589973 and 132376590000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132376590037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5938921 + ... + 5961168.

Almost surely, 2132376590036 is an apocalyptic number.

It is an amenable number.

132376590036 is an abundant number, since it is smaller than the sum of its proper divisors (214154030764).

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

132376590036 is a wasteful number, since it uses less digits than its factorization.

132376590036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900205 (or 11900197 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 132376590036 in words is "one hundred thirty-two billion, three hundred seventy-six million, five hundred ninety thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 11900089 23800178 35700267 47600356 71400534 107100801 142801068 214201602 321302403 428403204 642604806 1225709167 1285209612 2451418334 3677127501 4902836668 7354255002 11031382503 14708510004 22062765006 33094147509 44125530012 66188295018 132376590036