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642181122 = 2341121812
BaseRepresentation
bin100110010001101…
…110100000000010
31122202101011220000
4212101232200002
52303344243442
6143420100430
721625310112
oct4621564002
91582334800
10642181122
112aa549200
1215b094716
13a307713b
1461407042
153b5a0d4c
hex2646e802

642181122 has 90 divisors (see below), whose sum is σ = 1590455097. Its totient is φ = 193525200.

The previous prime is 642181117. The next prime is 642181153. The reversal of 642181122 is 221181246.

642181122 is a `hidden beast` number, since 642 + 1 + 8 + 1 + 12 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 388129401 + 254051721 = 19701^2 + 15939^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=17919.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3547872 + ... + 3548052.

Almost surely, 2642181122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642181122

642181122 is an abundant number, since it is smaller than the sum of its proper divisors (948273975).

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

642181122 is a wasteful number, since it uses less digits than its factorization.

642181122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 197 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 642181122 is about 25341.2928241635. The cubic root of 642181122 is about 862.7517420166.

The spelling of 642181122 in words is "six hundred forty-two million, one hundred eighty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 181 198 242 297 362 363 543 594 726 891 1086 1089 1629 1782 1991 2178 3258 3267 3982 4887 5973 6534 9774 9801 11946 14661 17919 19602 21901 29322 32761 35838 43802 53757 65522 65703 98283 107514 131406 161271 196566 197109 294849 322542 360371 394218 589698 591327 720742 884547 1081113 1182654 1769094 1773981 2162226 2653641 3243339 3547962 3964081 5307282 6486678 7928162 9730017 11892243 19460034 23784486 29190051 35676729 58380102 71353458 107030187 214060374 321090561 642181122