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1918936008 = 233511194723
BaseRepresentation
bin111001001100000…
…1010001111001000
311221201211001100000
41302120022033020
512412221423013
6514225243000
765360454423
oct16230121710
94851731300
101918936008
118a520a030
12456793460
132477338c2
14142bd69ba
15b36ed973
hex7260a3c8

1918936008 has 192 divisors, whose sum is σ = 6190329600. Its totient is φ = 550774080.

The previous prime is 1918935983. The next prime is 1918936043. The reversal of 1918936008 is 8006398191.

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 47 ways as a sum of consecutive naturals, for example, 403935 + ... + 408657.

It is an arithmetic number, because the mean of its divisors is an integer number (32241300).

Almost surely, 21918936008 is an apocalyptic number.

1918936008 is a gapful number since it is divisible by the number (18) 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 1918936008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095164800).

1918936008 is an abundant number, since it is smaller than the sum of its proper divisors (4271393592).

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

1918936008 is a wasteful number, since it uses less digits than its factorization.

1918936008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1918936008 is about 43805.6618258416. The cubic root of 1918936008 is about 1242.6633717276.

The spelling of 1918936008 in words is "one billion, nine hundred eighteen million, nine hundred thirty-six thousand, eight".