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19868647680 = 28335782129
BaseRepresentation
bin10010100000010000…
…111000000100000000
31220021200100212202000
4102200100320010000
5311142333211210
613043314024000
71302235501350
oct224020700400
956250325660
1019868647680
118476374092
123a25b78000
131b4840777b
14d66a92b60
157b4471ac0
hex4a0438100

19868647680 has 288 divisors, whose sum is σ = 80579385600. Its totient is φ = 4541349888.

The previous prime is 19868647657. The next prime is 19868647691. The reversal of 19868647680 is 8674686891.

19868647680 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 86 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 200856 + ... + 282984.

Almost surely, 219868647680 is an apocalyptic number.

19868647680 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 19868647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40289692800).

19868647680 is an abundant number, since it is smaller than the sum of its proper divisors (60710737920).

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

19868647680 is an equidigital number, since it uses as much as digits as its factorization.

19868647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82166 (or 82146 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 19868647680 in words is "nineteen billion, eight hundred sixty-eight million, six hundred forty-seven thousand, six hundred eighty".