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132041997504 = 2633194393529
BaseRepresentation
bin111101011111001010…
…0001111110011000000
3110121211020022110121000
41322332110033303000
54130410222410004
6140354222132000
712353060313564
oct1727624176300
9417736273530
10132041997504
1150aa92a107a
1221710721000
13c5b3c64991
1465687776a4
15367c26ec39
hex1ebe50fcc0

132041997504 has 224 divisors, whose sum is σ = 418116512000. Its totient is φ = 40727328768.

The previous prime is 132041997497. The next prime is 132041997509. The reversal of 132041997504 is 405799140231.

132041997504 is a `hidden beast` number, since 13 + 2 + 0 + 41 + 9 + 97 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132041997504.

It is not an unprimeable number, because it can be changed into a prime (132041997509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365012 + ... + 1458540.

Almost surely, 2132041997504 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 132041997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209058256000).

132041997504 is an abundant number, since it is smaller than the sum of its proper divisors (286074514496).

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

132041997504 is a wasteful number, since it uses less digits than its factorization.

132041997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93612 (or 93596 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 132041997504 in words is "one hundred thirty-two billion, forty-one million, nine hundred ninety-seven thousand, five hundred four".