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12014295216 = 24371121717383
BaseRepresentation
bin10110011000001101…
…11001100010110000
31011000022000102200220
423030012321202300
5144101124421331
65304100013040
7603503552520
oct131406714260
934008012626
1012014295216
115105835900
1223b3691180
1311960cb431
1481d89d680
154a4b46296
hex2cc1b98b0

12014295216 has 240 divisors, whose sum is σ = 41284357632. Its totient is φ = 2936862720.

The previous prime is 12014295191. The next prime is 12014295221. The reversal of 12014295216 is 61259241021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682461 + ... + 699843.

Almost surely, 212014295216 is an apocalyptic number.

12014295216 is a gapful number since it is divisible by the number (16) 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 12014295216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642178816).

12014295216 is an abundant number, since it is smaller than the sum of its proper divisors (29270062416).

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

12014295216 is a wasteful number, since it uses less digits than its factorization.

12014295216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17440 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 12014295216 in words is "twelve billion, fourteen million, two hundred ninety-five thousand, two hundred sixteen".