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19800982656 = 273471331677
BaseRepresentation
bin10010011100001110…
…110000010010000000
31220002222001010210000
4102130032300102000
5311023022421111
613032455440000
71300454401260
oct223416602200
956088033700
1019800982656
118441158384
123a07386000
131b373a59b0
14d5babb7a0
157ad557c56
hex49c3b0480

19800982656 has 640 divisors, whose sum is σ = 74976168960. Its totient is φ = 5046312960.

The previous prime is 19800982637. The next prime is 19800982681. The reversal of 19800982656 is 65628900891.

It is a happy number.

It is a super-3 number, since 3×198009826563 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29247790 + ... + 29248466.

It is an arithmetic number, because the mean of its divisors is an integer number (117150264).

Almost surely, 219800982656 is an apocalyptic number.

19800982656 is a gapful number since it is divisible by the number (16) 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 19800982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37488084480).

19800982656 is an abundant number, since it is smaller than the sum of its proper divisors (55175186304).

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

19800982656 is a wasteful number, since it uses less digits than its factorization.

19800982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 19800982656 in words is "nineteen billion, eight hundred million, nine hundred eighty-two thousand, six hundred fifty-six".