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132976824660 = 223351399176021
BaseRepresentation
bin111101111011000001…
…0010101000101010100
3110201020101100121101000
41323312002111011110
54134314031342120
6141031054503300
712415201234311
oct1736602250524
9421211317330
10132976824660
1151438a505a9
1221931804b30
13c702833544
14661699bd08
1536d437a990
hex1ef6095154

132976824660 has 96 divisors (see below), whose sum is σ = 414003744000. Its totient is φ = 35434938240.

The previous prime is 132976824649. The next prime is 132976824691. The reversal of 132976824660 is 66428679231.

132976824660 is a `hidden beast` number, since 1 + 32 + 9 + 76 + 82 + 466 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132976824597 and 132976824606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667450 + ... + 843470.

It is an arithmetic number, because the mean of its divisors is an integer number (4312539000).

Almost surely, 2132976824660 is an apocalyptic number.

132976824660 is a gapful number since it is divisible by the number (10) 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 132976824660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207001872000).

132976824660 is an abundant number, since it is smaller than the sum of its proper divisors (281026919340).

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

132976824660 is a wasteful number, since it uses less digits than its factorization.

132976824660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177438 (or 177430 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 132976824660 in words is "one hundred thirty-two billion, nine hundred seventy-six million, eight hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1399 2798 4197 5596 6995 8394 12591 13990 16788 20985 25182 27980 37773 41970 50364 62955 75546 83940 125910 151092 176021 188865 251820 352042 377730 528063 704084 755460 880105 1056126 1584189 1760210 2112252 2640315 3168378 3520420 4752567 5280630 6336756 7920945 9505134 10561260 15841890 19010268 23762835 31683780 47525670 95051340 246253379 492506758 738760137 985013516 1231266895 1477520274 2216280411 2462533790 2955040548 3693800685 4432560822 4925067580 6648841233 7387601370 8865121644 11081402055 13297682466 14775202740 22162804110 26595364932 33244206165 44325608220 66488412330 132976824660