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132548727636 = 2232134159191613
BaseRepresentation
bin111101101110010000…
…1010001001101010100
3110200010112211000122200
41323130201101031110
54132424433241021
6140520403124500
712401452411113
oct1733441211524
9420115730580
10132548727636
1151239334a06
1221832373730
13c664c351b0
1465b5ba1c7a
1536ab9b7126
hex1edc851354

132548727636 has 288 divisors, whose sum is σ = 378477066240. Its totient is φ = 38846822400.

The previous prime is 132548727629. The next prime is 132548727737. The reversal of 132548727636 is 636727845231.

It is a happy number.

132548727636 is a `hidden beast` number, since 1 + 32 + 548 + 7 + 2 + 7 + 63 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216229266 + ... + 216229878.

It is an arithmetic number, because the mean of its divisors is an integer number (1314156480).

Almost surely, 2132548727636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132548727636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189238533120).

132548727636 is an abundant number, since it is smaller than the sum of its proper divisors (245928338604).

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

132548727636 is a wasteful number, since it uses less digits than its factorization.

132548727636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 922 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 132548727636 in words is "one hundred thirty-two billion, five hundred forty-eight million, seven hundred twenty-seven thousand, six hundred thirty-six".