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132893722431 = 32167140962753
BaseRepresentation
bin111101111000100010…
…1010100011100111111
3110201000120222120112200
41323301011110130333
54134131243104211
6141014525402543
712413142000621
oct1736105243477
9421016876480
10132893722431
11513a6050678
1221909a09453
13c6bb558122
146609928c11
1536cbe12b56
hex1ef115473f

132893722431 has 24 divisors (see below), whose sum is σ = 193247177760. Its totient is φ = 88001396736.

The previous prime is 132893722411. The next prime is 132893722453. The reversal of 132893722431 is 134227398231.

132893722431 is a `hidden beast` number, since 1 + 32 + 8 + 9 + 372 + 243 + 1 = 666.

It is not a de Polignac number, because 132893722431 - 210 = 132893721407 is a prime.

It is a super-2 number, since 2×1328937224312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132893722411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2086351 + ... + 2149103.

It is an arithmetic number, because the mean of its divisors is an integer number (8051965740).

Almost surely, 2132893722431 is an apocalyptic number.

132893722431 is a deficient number, since it is larger than the sum of its proper divisors (60353455329).

132893722431 is a wasteful number, since it uses less digits than its factorization.

132893722431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64335 (or 64332 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 132893722431 in words is "one hundred thirty-two billion, eight hundred ninety-three million, seven hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 167 501 1409 1503 4227 12681 62753 188259 235303 564777 705909 2117727 10479751 31439253 88418977 94317759 265256931 795770793 14765969159 44297907477 132893722431