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19242274464 = 253473728663
BaseRepresentation
bin10001111010111011…
…011100111010100000
31211200000201211020000
4101322323130322200
5303402010240324
612501220420000
71250561430360
oct217273347240
954600654200
1019242274464
118184842676
123890247600
131a7870692a
14d078029a0
157794949c9
hex47aedcea0

19242274464 has 240 divisors, whose sum is σ = 66425724288. Its totient is φ = 5349017088.

The previous prime is 19242274451. The next prime is 19242274507. The reversal of 19242274464 is 46447224291.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 656997 + ... + 685659.

Almost surely, 219242274464 is an apocalyptic number.

19242274464 is a gapful number since it is divisible by the number (14) 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 19242274464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212862144).

19242274464 is an abundant number, since it is smaller than the sum of its proper divisors (47183449824).

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

19242274464 is a wasteful number, since it uses less digits than its factorization.

19242274464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28729 (or 28712 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 19242274464 in words is "nineteen billion, two hundred forty-two million, two hundred seventy-four thousand, four hundred sixty-four".