Search a number
-
+
19674772992 = 29357192941
BaseRepresentation
bin10010010100101101…
…010011011000000000
31212210011120000200000
4102110231103120000
5310243220213432
613012150400000
71264362545130
oct222455233000
955704500600
1019674772992
118386995176
123991060000
131b171b6514
14d49026ac0
157a242757c
hex494b53600

19674772992 has 960 divisors, whose sum is σ = 75070195200. Its totient is φ = 5016453120.

The previous prime is 19674772969. The next prime is 19674773003. The reversal of 19674772992 is 29927747691.

19674772992 is a `hidden beast` number, since 19 + 67 + 477 + 2 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479872492 + ... + 479872532.

It is an arithmetic number, because the mean of its divisors is an integer number (78198120).

Almost surely, 219674772992 is an apocalyptic number.

19674772992 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 19674772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37535097600).

19674772992 is an abundant number, since it is smaller than the sum of its proper divisors (55395422208).

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

19674772992 is an equidigital number, since it uses as much as digits as its factorization.

19674772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The spelling of 19674772992 in words is "nineteen billion, six hundred seventy-four million, seven hundred seventy-two thousand, nine hundred ninety-two".