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12679017372 = 2233738343789
BaseRepresentation
bin10111100111011101…
…00111001110011100
31012201121210211002000
423303232213032130
5201431312023442
65454043202300
7626124604140
oct136356471634
935647724060
1012679017372
115416a7a45a
12255a216390
131270a38458
14883c93220
154e319ad4c
hex2f3ba739c

12679017372 has 96 divisors (see below), whose sum is σ = 37666406400. Its totient is φ = 3613035456.

The previous prime is 12679017361. The next prime is 12679017383. The reversal of 12679017372 is 27371097621.

12679017372 is a `hidden beast` number, since 1 + 267 + 9 + 0 + 17 + 372 = 666.

It is an interprime number because it is at equal distance from previous prime (12679017361) and next prime (12679017383).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267654 + ... + 311442.

It is an arithmetic number, because the mean of its divisors is an integer number (392358400).

Almost surely, 212679017372 is an apocalyptic number.

12679017372 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 12679017372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18833203200).

12679017372 is an abundant number, since it is smaller than the sum of its proper divisors (24987389028).

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

12679017372 is a wasteful number, since it uses less digits than its factorization.

12679017372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44192 (or 44184 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 12679017372 in words is "twelve billion, six hundred seventy-nine million, seventeen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 383 756 766 1149 1532 2298 2681 3447 4596 5362 6894 8043 10341 10724 13788 16086 20682 24129 32172 41364 43789 48258 72387 87578 96516 131367 144774 175156 262734 289548 306523 394101 525468 613046 788202 919569 1182303 1226092 1576404 1839138 2364606 2758707 3678276 4729212 5517414 8276121 11034828 16552242 16771187 33104484 33542374 50313561 67084748 100627122 117398309 150940683 201254244 234796618 301881366 352194927 452822049 469593236 603762732 704389854 905644098 1056584781 1408779708 1811288196 2113169562 3169754343 4226339124 6339508686 12679017372