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136000412624 = 24171006149697
BaseRepresentation
bin111111010101001000…
…0011001101111010000
3111000001002202210022102
41332222100121233100
54212012101200444
6142251104455532
712553134301466
oct1765220315720
9430032683272
10136000412624
115274a761a2a
122243631a5a8
13ca9508634b
146822384836
15380ea2d84e
hex1faa419bd0

136000412624 has 40 divisors (see below), whose sum is σ = 279034192008. Its totient is φ = 63992545280.

The previous prime is 136000412617. The next prime is 136000412627. The reversal of 136000412624 is 426214000631.

It can be written as a sum of positive squares in 4 ways, for example, as 6783169600 + 129217243024 = 82360^2 + 359468^2 .

It is a super-2 number, since 2×1360004126242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136000412627) 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 7 ways as a sum of consecutive naturals, for example, 2711744 + ... + 2761440.

Almost surely, 2136000412624 is an apocalyptic number.

It is an amenable number.

136000412624 is an abundant number, since it is smaller than the sum of its proper divisors (143033779384).

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

136000412624 is a wasteful number, since it uses less digits than its factorization.

136000412624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59783 (or 59777 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 136000412624 in words is "one hundred thirty-six billion, four hundred twelve thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 10061 20122 40244 49697 80488 99394 160976 171037 198788 342074 397576 684148 795152 844849 1368296 1689698 2736592 3379396 6758792 13517584 500001517 1000003034 2000006068 4000012136 8000024272 8500025789 17000051578 34000103156 68000206312 136000412624