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19993599252 = 223311231993677
BaseRepresentation
bin10010100111101101…
…100001110100010100
31220121101111002002000
4102213231201310110
5311421330134002
613103540115300
71305313534554
oct224755416424
956541432060
1019993599252
11852a958050
123a5b995b30
131b68276403
14d794db164
157c040461c
hex4a7b61d14

19993599252 has 192 divisors, whose sum is σ = 59318784000. Its totient is φ = 5764556160.

The previous prime is 19993599221. The next prime is 19993599257. The reversal of 19993599252 is 25299539991.

19993599252 is a `hidden beast` number, since 19 + 9 + 9 + 3 + 599 + 25 + 2 = 666.

It is a super-2 number, since 2×199935992522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19993599252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19993599257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5435638 + ... + 5439314.

It is an arithmetic number, because the mean of its divisors is an integer number (308952000).

Almost surely, 219993599252 is an apocalyptic number.

19993599252 is a gapful number since it is divisible by the number (12) 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 19993599252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659392000).

19993599252 is an abundant number, since it is smaller than the sum of its proper divisors (39325184748).

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

19993599252 is a wasteful number, since it uses less digits than its factorization.

19993599252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3915 counting only the distinct ones).

The product of its digits is 17714700, while the sum is 63.

The spelling of 19993599252 in words is "nineteen billion, nine hundred ninety-three million, five hundred ninety-nine thousand, two hundred fifty-two".