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132974516196 = 223279167279977
BaseRepresentation
bin111101111010111100…
…1100001011111100100
3110201020020000022202100
41323311321201133210
54134312434004241
6141030533212100
712415142511144
oct1736571413744
9421206008670
10132974516196
1151437714185
1221930a91030
13c7022058a2
14661655a924
1536d40719b6
hex1ef5e617e4

132974516196 has 72 divisors (see below), whose sum is σ = 342424293120. Its totient is φ = 43501550976.

The previous prime is 132974516179. The next prime is 132974516201. The reversal of 132974516196 is 691615479231.

132974516196 is a `hidden beast` number, since 1 + 32 + 9 + 7 + 4 + 516 + 1 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334960 + ... + 614936.

It is an arithmetic number, because the mean of its divisors is an integer number (4755892960).

Almost surely, 2132974516196 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 132974516196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171212146560).

132974516196 is an abundant number, since it is smaller than the sum of its proper divisors (209449776924).

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

132974516196 is a wasteful number, since it uses less digits than its factorization.

132974516196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280233 (or 280228 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 132974516196 in words is "one hundred thirty-two billion, nine hundred seventy-four million, five hundred sixteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 167 237 316 334 474 501 668 711 948 1002 1422 1503 2004 2844 3006 6012 13193 26386 39579 52772 79158 118737 158316 237474 279977 474948 559954 839931 1119908 1679862 2519793 3359724 5039586 10079172 22118183 44236366 46756159 66354549 88472732 93512318 132709098 140268477 187024636 199063647 265418196 280536954 398127294 420805431 561073908 796254588 841610862 1683221724 3693736561 7387473122 11081209683 14774946244 22162419366 33243629049 44324838732 66487258098 132974516196