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12785287680 = 293251161827
BaseRepresentation
bin10111110100001000…
…00000001000000000
31020000000202220112100
423322010000020000
5202141013201210
65512401030400
7631555103124
oct137204001000
936000686470
1012785287680
115470a63960
122589925400
131289a65ca9
14894037584
154ec68d5c0
hex2fa100200

12785287680 has 480 divisors, whose sum is σ = 49155657408. Its totient is φ = 3044966400.

The previous prime is 12785287649. The next prime is 12785287759. The reversal of 12785287680 is 8678258721.

It is a tau number, because it is divible by the number of its divisors (480).

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, 15459427 + ... + 15460253.

Almost surely, 212785287680 is an apocalyptic number.

12785287680 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 12785287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24577828704).

12785287680 is an abundant number, since it is smaller than the sum of its proper divisors (36370369728).

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

12785287680 is a wasteful number, since it uses less digits than its factorization.

12785287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 12785287680 in words is "twelve billion, seven hundred eighty-five million, two hundred eighty-seven thousand, six hundred eighty".