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12699946560 = 2635717195851
BaseRepresentation
bin10111101001111100…
…11100111001000000
31012210002012010112010
423310332130321000
5202002141242220
65500111532520
7626500523160
oct136476347100
935702163463
1012699946560
115427874904
12256522a140
1312751857a2
148869805a0
154e4e321e0
hex2f4f9ce40

12699946560 has 448 divisors, whose sum is σ = 51370260480. Its totient is φ = 2587852800.

The previous prime is 12699946487. The next prime is 12699946613. The reversal of 12699946560 is 6564999621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×126999465602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 12699946560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2167635 + ... + 2173485.

It is an arithmetic number, because the mean of its divisors is an integer number (114665760).

Almost surely, 212699946560 is an apocalyptic number.

12699946560 is a gapful number since it is divisible by the number (10) 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 12699946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685130240).

12699946560 is an abundant number, since it is smaller than the sum of its proper divisors (38670313920).

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

12699946560 is a wasteful number, since it uses less digits than its factorization.

12699946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 12699946560 in words is "twelve billion, six hundred ninety-nine million, nine hundred forty-six thousand, five hundred sixty".