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132975122904 = 23361310916091
BaseRepresentation
bin111101111010111101…
…1110101100111011000
3110201020021011011000000
41323311323311213120
54134313112413104
6141030554213000
712415150616031
oct1736573654730
9421207134000
10132975122904
1151437a98a98
1221931124160
13c702388aa0
146616677a88
1536d4141639
hex1ef5ef59d8

132975122904 has 224 divisors, whose sum is σ = 406295643600. Its totient is φ = 40537532160.

The previous prime is 132975122893. The next prime is 132975122927. The reversal of 132975122904 is 409221579231.

It is a super-2 number, since 2×1329751229042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132975122904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8255899 + ... + 8271989.

Almost surely, 2132975122904 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 132975122904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203147821800).

132975122904 is an abundant number, since it is smaller than the sum of its proper divisors (273320520696).

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

132975122904 is a wasteful number, since it uses less digits than its factorization.

132975122904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16237 (or 16218 counting only the distinct ones).

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

The spelling of 132975122904 in words is "one hundred thirty-two billion, nine hundred seventy-five million, one hundred twenty-two thousand, nine hundred four".