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12966756880 = 2457112316173
BaseRepresentation
bin11000001001110000…
…10000001000010000
31020110200020111110211
430010320100020100
5203023442210010
65542402333504
7636220420630
oct140470201020
936420214424
1012966756880
11555443a400
12261a65a294
1312b853280c
148b01946c0
1550d58708a
hex304e10210

12966756880 has 240 divisors, whose sum is σ = 39099497472. Its totient is φ = 3910579200.

The previous prime is 12966756857. The next prime is 12966756931. The reversal of 12966756880 is 8865766921.

It is a congruent number.

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, 2097474 + ... + 2103646.

Almost surely, 212966756880 is an apocalyptic number.

12966756880 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 12966756880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549748736).

12966756880 is an abundant number, since it is smaller than the sum of its proper divisors (26132740592).

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

12966756880 is a wasteful number, since it uses less digits than its factorization.

12966756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 12966756880 in words is "twelve billion, nine hundred sixty-six million, seven hundred fifty-six thousand, eight hundred eighty".