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19903534992 = 243211175571327
BaseRepresentation
bin10010100010010101…
…111101011110010000
31220101010000100010200
4102202111331132100
5311230301104432
613051001455200
71303141153545
oct224225753620
956333010120
1019903534992
118494032480
123a357a1500
131b52701153
14d6b574bcc
157b7563a7c
hex4a257d790

19903534992 has 240 divisors, whose sum is σ = 64504657152. Its totient is φ = 5662126080.

The previous prime is 19903534979. The next prime is 19903535033. The reversal of 19903534992 is 29943530991.

19903534992 is a `hidden beast` number, since 19 + 9 + 0 + 3 + 534 + 9 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14998233 + ... + 14999559.

Almost surely, 219903534992 is an apocalyptic number.

19903534992 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 19903534992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32252328576).

19903534992 is an abundant number, since it is smaller than the sum of its proper divisors (44601122160).

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

19903534992 is a wasteful number, since it uses less digits than its factorization.

19903534992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 19903534992 in words is "nineteen billion, nine hundred three million, five hundred thirty-four thousand, nine hundred ninety-two".