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132523642944 = 26337111923189
BaseRepresentation
bin111101101101100000…
…1100101000001000000
3110200001210121120221000
41323123001211001000
54132402023033234
6140514105332000
712401026243650
oct1733301450100
9420053546830
10132523642944
1151226161460
1221825a97000
13c65c991594
1465b2712360
1536a96ae899
hex1edb065040

132523642944 has 1344 divisors, whose sum is σ = 535121510400. Its totient is φ = 31203532800.

The previous prime is 132523642903. The next prime is 132523642949. The reversal of 132523642944 is 449246325231.

132523642944 is a `hidden beast` number, since 1 + 3 + 2 + 523 + 64 + 29 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

Its product of digits (1244160) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 132523642944.

It is not an unprimeable number, because it can be changed into a prime (132523642949) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1489029652 + ... + 1489029740.

Almost surely, 2132523642944 is an apocalyptic number.

132523642944 is a gapful number since it is divisible by the number (14) 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 132523642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267560755200).

132523642944 is an abundant number, since it is smaller than the sum of its proper divisors (402597867456).

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

132523642944 is a wasteful number, since it uses less digits than its factorization.

132523642944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 162 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 132523642944 in words is "one hundred thirty-two billion, five hundred twenty-three million, six hundred forty-two thousand, nine hundred forty-four".