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132245690765760 = 263451113331107791
BaseRepresentation
bin11110000100011011011001…
…011010111101000111000000
3122100020120020120101012210000
4132010123121122331013000
5114313203133314001020
61145132455344440000
736566302333233255
oct3604333132750700
9570216216335700
10132245690765760
113915709a887850
12129ba126319000
1358a393b1a4aa0
142492a2301142c
151045031dd5090
hex7846d96bd1c0

132245690765760 has 1120 divisors, whose sum is σ = 554337472195584. Its totient is φ = 29503761408000.

The previous prime is 132245690765737. The next prime is 132245690765767. The reversal of 132245690765760 is 67567096542231.

132245690765760 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 56 + 9 + 0 + 7 + 6 + 576 + 0 = 666.

It is a super-2 number, since 2×1322456907657602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132245690765767) 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 159 ways as a sum of consecutive naturals, for example, 1226817465 + ... + 1226925255.

Almost surely, 2132245690765760 is an apocalyptic number.

132245690765760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132245690765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277168736097792).

132245690765760 is an abundant number, since it is smaller than the sum of its proper divisors (422091781429824).

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

132245690765760 is a wasteful number, since it uses less digits than its factorization.

132245690765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108175 (or 108156 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 132245690765760 in words is "one hundred thirty-two trillion, two hundred forty-five billion, six hundred ninety million, seven hundred sixty-five thousand, seven hundred sixty".