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132535365696 = 26332923311351
BaseRepresentation
bin111101101101110111…
…0010011000001000000
3110200002121200011112000
41323123232103001000
54132413023200241
6140515204504000
712401231010036
oct1733356230100
9420077604460
10132535365696
1151231838988
12218299ab000
13c662237316
1465b40c4556
1536aa727eb6
hex1edbb93040

132535365696 has 224 divisors, whose sum is σ = 404830483200. Its totient is φ = 42468249600.

The previous prime is 132535365679. The next prime is 132535365713. The reversal of 132535365696 is 696563535231.

132535365696 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 536 + 56 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (132535365679) and next prime (132535365713).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11670421 + ... + 11681771.

Almost surely, 2132535365696 is an apocalyptic number.

132535365696 is a gapful number since it is divisible by the number (16) 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 132535365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202415241600).

132535365696 is an abundant number, since it is smaller than the sum of its proper divisors (272295117504).

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

132535365696 is a wasteful number, since it uses less digits than its factorization.

132535365696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11634 (or 11618 counting only the distinct ones).

The product of its digits is 13122000, while the sum is 54.

The spelling of 132535365696 in words is "one hundred thirty-two billion, five hundred thirty-five million, three hundred sixty-five thousand, six hundred ninety-six".