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19403972352 = 2832311072539
BaseRepresentation
bin10010000100100100…
…010001111100000000
31212002021222221000200
4102010210101330000
5304214404103402
612525234245200
71254564020652
oct220444217400
955067887020
1019403972352
118258044696
123916426800
131aa307015b
14d210946d2
1578878521c
hex484911f00

19403972352 has 216 divisors, whose sum is σ = 58313848320. Its totient is φ = 6198405120.

The previous prime is 19403972351. The next prime is 19403972369. The reversal of 19403972352 is 25327930491.

19403972352 is a `hidden beast` number, since 1 + 9 + 403 + 9 + 7 + 235 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19403972298 and 19403972307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19403972351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7641099 + ... + 7643637.

It is an arithmetic number, because the mean of its divisors is an integer number (269971520).

Almost surely, 219403972352 is an apocalyptic number.

19403972352 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 19403972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29156924160).

19403972352 is an abundant number, since it is smaller than the sum of its proper divisors (38909875968).

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

19403972352 is a wasteful number, since it uses less digits than its factorization.

19403972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 19403972352 in words is "nineteen billion, four hundred three million, nine hundred seventy-two thousand, three hundred fifty-two".