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12713656320 = 216345479
BaseRepresentation
bin10111101011100101…
…10000000000000000
31012211000222122210000
423311302300000000
5202014144000240
65501321440000
7630025203261
oct136562600000
935730878700
1012713656320
115434589192
122569940000
131277c75a81
1488870c968
154e623e430
hex2f5cb0000

12713656320 has 340 divisors, whose sum is σ = 45675622080. Its totient is φ = 3383230464.

The previous prime is 12713656301. The next prime is 12713656337. The reversal of 12713656320 is 2365631721.

12713656320 is a `hidden beast` number, since 1 + 2 + 7 + 13 + 6 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26541841 + ... + 26542319.

Almost surely, 212713656320 is an apocalyptic number.

12713656320 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 12713656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837811040).

12713656320 is an abundant number, since it is smaller than the sum of its proper divisors (32961965760).

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

12713656320 is an frugal number, since it uses more digits than its factorization.

12713656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12713656320 in words is "twelve billion, seven hundred thirteen million, six hundred fifty-six thousand, three hundred twenty".