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132996235680 = 253257111199461
BaseRepresentation
bin111101111011100110…
…0011000000110100000
3110201021201212210021200
41323313030120012200
54134334014020210
6141033030521200
712415525231230
oct1736714300640
9421251783250
10132996235680
11514489a9370
1221938206200
13c70686b859
1466193b1cc0
1536d5e120c0
hex1ef73181a0

132996235680 has 288 divisors, whose sum is σ = 565839001728. Its totient is φ = 27635558400.

The previous prime is 132996235651. The next prime is 132996235751. The reversal of 132996235680 is 86532699231.

132996235680 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 9 + 623 + 5 + 6 + 8 + 0 = 666.

132996235680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488851 + ... + 710610.

It is an arithmetic number, because the mean of its divisors is an integer number (1964718756).

Almost surely, 2132996235680 is an apocalyptic number.

132996235680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132996235680 is an abundant number, since it is smaller than the sum of its proper divisors (432842766048).

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

132996235680 is a wasteful number, since it uses less digits than its factorization.

132996235680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199500 (or 1199489 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 132996235680 in words is "one hundred thirty-two billion, nine hundred ninety-six million, two hundred thirty-five thousand, six hundred eighty".