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642650133132 = 2232720991214959
BaseRepresentation
bin10010101101000001110…
…11101101001010001100
32021102210101121022012200
421112200323231022030
541012121413230012
61211121314401500
764300320000330
oct11264073551214
92242711538180
10642650133132
11228601278907
12a4672290290
13487a8a86887
14231667c37c0
1511ab43393dc
hex95a0eed28c

642650133132 has 72 divisors (see below), whose sum is σ = 1857430848000. Its totient is φ = 183526695648.

The previous prime is 642650133109. The next prime is 642650133137. The reversal of 642650133132 is 231331056246.

642650133132 is a `hidden beast` number, since 64 + 265 + 0 + 1 + 331 + 3 + 2 = 666.

It is a super-2 number, since 2×6426501331322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (642650133137) 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 23 ways as a sum of consecutive naturals, for example, 78532 + ... + 1136427.

Almost surely, 2642650133132 is an apocalyptic number.

It is an amenable number.

642650133132 is an abundant number, since it is smaller than the sum of its proper divisors (1214780714868).

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

642650133132 is a wasteful number, since it uses less digits than its factorization.

642650133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217075 (or 1217070 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 642650133132 its reverse (231331056246), we get a palindrome (873981189378).

The spelling of 642650133132 in words is "six hundred forty-two billion, six hundred fifty million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2099 4198 6297 8396 12594 14693 18891 25188 29386 37782 44079 58772 75564 88158 132237 176316 264474 528948 1214959 2429918 3644877 4859836 7289754 8504713 10934631 14579508 17009426 21869262 25514139 34018852 43738524 51028278 76542417 102056556 153084834 306169668 2550198941 5100397882 7650596823 10200795764 15301193646 17851392587 22951790469 30602387292 35702785174 45903580938 53554177761 71405570348 91807161876 107108355522 160662533283 214216711044 321325066566 642650133132