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113722672842 = 23367121325913
BaseRepresentation
bin110100111101001100…
…1100100011011001010
3101212112112021100111000
41221322121210123022
53330401001012332
6124124331315430
711134103525022
oct1517231443312
9355475240430
10113722672842
1144258536339
121a0595abb76
13a95482b6bc
14570b786a82
152e58d3bb7c
hex1a7a6646ca

113722672842 has 64 divisors (see below), whose sum is σ = 256710303360. Its totient is φ = 37309548672.

The previous prime is 113722672841. The next prime is 113722672873. The reversal of 113722672842 is 248276227311.

113722672842 is a `hidden beast` number, since 11 + 372 + 267 + 2 + 8 + 4 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (113722672841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4375678 + ... + 4401590.

It is an arithmetic number, because the mean of its divisors is an integer number (4011098490).

Almost surely, 2113722672842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113722672842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128355151680).

113722672842 is an abundant number, since it is smaller than the sum of its proper divisors (142987630518).

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

113722672842 is a wasteful number, since it uses less digits than its factorization.

113722672842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27204 (or 27198 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 113722672842 in words is "one hundred thirteen billion, seven hundred twenty-two million, six hundred seventy-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1213 1809 2426 3618 3639 7278 10917 21834 25913 32751 51826 65502 77739 81271 155478 162542 233217 243813 466434 487626 699651 731439 1399302 1462878 1736171 2194317 3472342 4388634 5208513 10417026 15625539 31251078 31432469 46876617 62864938 93753234 94297407 188594814 282892221 565784442 848676663 1697353326 2105975423 4211950846 6317926269 12635852538 18953778807 37907557614 56861336421 113722672842