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30742657506 = 23211179133291
BaseRepresentation
bin11100101000011001…
…111011100111100010
32221100111201210221200
4130220121323213202
51000430110020011
622042321502030
72135555164041
oct345031734742
987314653850
1030742657506
1112046479670
125b5b7a1916
132b8c1bb802
1416b8d28558
15bede25856
hex72867b9e2

30742657506 has 48 divisors (see below), whose sum is σ = 76938851808. Its totient is φ = 8767958400.

The previous prime is 30742657501. The next prime is 30742657507. The reversal of 30742657506 is 60575624703.

30742657506 is a `hidden beast` number, since 3 + 0 + 74 + 2 + 6 + 575 + 0 + 6 = 666.

It is a super-2 number, since 2×307426575062 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30742657501) 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, 4563280 + ... + 4570011.

It is an arithmetic number, because the mean of its divisors is an integer number (1602892746).

Almost surely, 230742657506 is an apocalyptic number.

30742657506 is an abundant number, since it is smaller than the sum of its proper divisors (46196194302).

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

30742657506 is a wasteful number, since it uses less digits than its factorization.

30742657506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133327 (or 9133324 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 30742657506 in words is "thirty billion, seven hundred forty-two million, six hundred fifty-seven thousand, five hundred six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 9133291 18266582 27399873 54799746 82199619 100466201 155265947 164399238 200932402 301398603 310531894 465797841 602797206 904195809 931595682 1397393523 1707925417 1808391618 2794787046 3415850834 5123776251 10247552502 15371328753 30742657506