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19959865344 = 21333314171
BaseRepresentation
bin10010100101101100…
…110110000000000000
31220112001000012212000
4102211230312000000
5311334211142334
613100333104000
71304424025146
oct224554660000
956461005760
1019959865344
118512907291
123a50628000
131b61294a13
14d74c39596
157bc48e299
hex4a5b36000

19959865344 has 448 divisors, whose sum is σ = 63414005760. Its totient is φ = 6193152000.

The previous prime is 19959865339. The next prime is 19959865357. The reversal of 19959865344 is 44356895991.

19959865344 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 98 + 6 + 534 + 4 = 666.

It is a super-2 number, since 2×199598653442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 281124829 + ... + 281124899.

It is an arithmetic number, because the mean of its divisors is an integer number (141549120).

Almost surely, 219959865344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19959865344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707002880).

19959865344 is an abundant number, since it is smaller than the sum of its proper divisors (43454140416).

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

19959865344 is an equidigital number, since it uses as much as digits as its factorization.

19959865344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 19959865344 in words is "nineteen billion, nine hundred fifty-nine million, eight hundred sixty-five thousand, three hundred forty-four".