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12691749312 = 2632112969073
BaseRepresentation
bin10111101000111110…
…01011100111000000
31012202111202200000100
423310133023213000
5201443041434222
65455220122400
7626341042404
oct136437134700
935674680010
1012691749312
115423186120
122562536400
131273575648
14885849104
154e43634ac
hex2f47cb9c0

12691749312 has 168 divisors, whose sum is σ = 41054822640. Its totient is φ = 3713310720.

The previous prime is 12691749299. The next prime is 12691749331. The reversal of 12691749312 is 21394719621.

12691749312 is a `hidden beast` number, since 1 + 269 + 1 + 74 + 9 + 312 = 666.

It is a super-2 number, since 2×126917493122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 149208 + ... + 218280.

Almost surely, 212691749312 is an apocalyptic number.

12691749312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12691749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527411320).

12691749312 is an abundant number, since it is smaller than the sum of its proper divisors (28363073328).

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

12691749312 is a wasteful number, since it uses less digits than its factorization.

12691749312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69131 (or 69118 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 12691749312 in words is "twelve billion, six hundred ninety-one million, seven hundred forty-nine thousand, three hundred twelve".