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19804230432 = 253472211739
BaseRepresentation
bin10010011100011011…
…001001001100100000
31220010012011010220000
4102130123021030200
5311024340333212
613033053220000
71300524116100
oct223433111440
956105133800
1019804230432
118442a76498
123a08491600
131b37c7205c
14d5c2c5200
157ad99a1dc
hex49c6c9320

19804230432 has 360 divisors, whose sum is σ = 68166085680. Its totient is φ = 5623914240.

The previous prime is 19804230403. The next prime is 19804230463. The reversal of 19804230432 is 23403240891.

19804230432 is a `hidden beast` number, since 198 + 0 + 4 + 2 + 30 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26798319 + ... + 26799057.

It is an arithmetic number, because the mean of its divisors is an integer number (189350238).

Almost surely, 219804230432 is an apocalyptic number.

19804230432 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 19804230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34083042840).

19804230432 is an abundant number, since it is smaller than the sum of its proper divisors (48361855248).

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

19804230432 is a wasteful number, since it uses less digits than its factorization.

19804230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 19804230432 in words is "nineteen billion, eight hundred four million, two hundred thirty thousand, four hundred thirty-two".