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132838459544 = 23717292831999
BaseRepresentation
bin111101110110111001…
…0100000100010011000
3110200212201222221010002
41323231302200202120
54134023121201134
6141005233112132
712411601163420
oct1735562404230
9420781887102
10132838459544
115137793586a
12218b33b8648
13c6acc793ab
146602461480
1536c714887e
hex1eedca0898

132838459544 has 192 divisors, whose sum is σ = 316068480000. Its totient is φ = 51085375488.

The previous prime is 132838459517. The next prime is 132838459553. The reversal of 132838459544 is 445954838231.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 132838459544.

It is a congruent number.

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, 66451457 + ... + 66453455.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190000).

Almost surely, 2132838459544 is an apocalyptic number.

132838459544 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 132838459544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240000).

132838459544 is an abundant number, since it is smaller than the sum of its proper divisors (183230020456).

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

132838459544 is a wasteful number, since it uses less digits than its factorization.

132838459544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2137 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 56.

The spelling of 132838459544 in words is "one hundred thirty-two billion, eight hundred thirty-eight million, four hundred fifty-nine thousand, five hundred forty-four".