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9061584138 = 23213114272693
BaseRepresentation
bin10000111000001110…
…01100110100001010
3212101111222011120100
420130013030310022
5122024231143023
64055101110230
7440361123435
oct103407146412
925344864510
109061584138
113930034312
12190a858376
13b15463309
1461d68681c
153807e3c43
hex21c1ccd0a

9061584138 has 48 divisors (see below), whose sum is σ = 19804520736. Its totient is φ = 2994257760.

The previous prime is 9061584107. The next prime is 9061584143. The reversal of 9061584138 is 8314851609.

9061584138 is a `hidden beast` number, since 9 + 0 + 61 + 584 + 1 + 3 + 8 = 666.

It is a super-2 number, since 2×90615841382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9061584093 and 9061584102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3363520 + ... + 3366212.

It is an arithmetic number, because the mean of its divisors is an integer number (412594182).

Almost surely, 29061584138 is an apocalyptic number.

9061584138 is an abundant number, since it is smaller than the sum of its proper divisors (10742936598).

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

9061584138 is a wasteful number, since it uses less digits than its factorization.

9061584138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9061584138 is about 95192.3533588702. The cubic root of 9061584138 is about 2084.8174931257.

The spelling of 9061584138 in words is "nine billion, sixty-one million, five hundred eighty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 1427 2358 2693 2854 4281 5386 8079 8562 12843 16158 24237 25686 48474 186937 352783 373874 560811 705566 1058349 1121622 1682433 2116698 3175047 3364866 3842911 6350094 7685822 11528733 23057466 34586199 69172398 503421341 1006842682 1510264023 3020528046 4530792069 9061584138