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19490520672 = 25367217259
BaseRepresentation
bin10010001001101110…
…011011111001100000
31212022022212001000000
4102021232123321200
5304404033130142
612542005300000
71256664456300
oct221156337140
955268761000
1019490520672
1182a1988727
12393b404600
131ab7c83c8c
14d2c783600
1579117e14c
hex489b9be60

19490520672 has 756 divisors, whose sum is σ = 72297818460. Its totient is φ = 5152315392.

The previous prime is 19490520667. The next prime is 19490520677. The reversal of 19490520672 is 27602509491.

19490520672 is a `hidden beast` number, since 19 + 49 + 0 + 520 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (19490520667) and next prime (19490520677).

It is a tau number, because it is divible by the number of its divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19490520677) 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 125 ways as a sum of consecutive naturals, for example, 330347779 + ... + 330347837.

It is an arithmetic number, because the mean of its divisors is an integer number (95632035).

Almost surely, 219490520672 is an apocalyptic number.

19490520672 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 19490520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36148909230).

19490520672 is an abundant number, since it is smaller than the sum of its proper divisors (52807297788).

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

19490520672 is an equidigital number, since it uses as much as digits as its factorization.

19490520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19490520672 in words is "nineteen billion, four hundred ninety million, five hundred twenty thousand, six hundred seventy-two".