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264610015136 = 25171291737657
BaseRepresentation
bin1111011001101111111…
…1000110011110100000
3221022000010102112010222
43312123333012132200
513313410130441021
6321320554542212
725055166006035
oct3663377063640
9838003375128
10264610015136
11a2247500925
1243349437968
131bc4cb9206c
14cb42d1b38c
156d3a7976ab
hex3d9bfc67a0

264610015136 has 48 divisors (see below), whose sum is σ = 551652493896. Its totient is φ = 124509413376.

The previous prime is 264610015121. The next prime is 264610015183. The reversal of 264610015136 is 631510016462.

It can be written as a sum of positive squares in 4 ways, for example, as 263739765136 + 870250000 = 513556^2 + 29500^2 .

It is a super-2 number, since 2×2646100151362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264610015096 and 264610015105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7008020 + ... + 7045676.

Almost surely, 2264610015136 is an apocalyptic number.

It is an amenable number.

264610015136 is an abundant number, since it is smaller than the sum of its proper divisors (287042478760).

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

264610015136 is a wasteful number, since it uses less digits than its factorization.

264610015136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50601 (or 50593 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 264610015136 in words is "two hundred sixty-four billion, six hundred ten million, fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 12917 25834 37657 51668 75314 103336 150628 206672 219589 301256 413344 439178 602512 640169 878356 1205024 1280338 1756712 2560676 3513424 5121352 7026848 10242704 20485408 486415469 972830938 1945661876 3891323752 7782647504 8269062973 15565295008 16538125946 33076251892 66152503784 132305007568 264610015136