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18347999040 = 2633572192281
BaseRepresentation
bin10001000101101000…
…000011111101000000
31202100200222220222000
4101011220003331000
5300034041432130
612232353144000
71216452263400
oct210550037500
952320886860
1018347999040
117865a70278
12368085b000
131965365a87
14c60b36800
15725be9260
hex445a03f40

18347999040 has 672 divisors, whose sum is σ = 79293110400. Its totient is φ = 3971358720.

The previous prime is 18347999023. The next prime is 18347999051. The reversal of 18347999040 is 4099974381.

18347999040 is a `hidden beast` number, since 1 + 83 + 479 + 9 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8042700 + ... + 8044980.

It is an arithmetic number, because the mean of its divisors is an integer number (117995700).

Almost surely, 218347999040 is an apocalyptic number.

18347999040 is a gapful number since it is divisible by the number (10) 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 18347999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39646555200).

18347999040 is an abundant number, since it is smaller than the sum of its proper divisors (60945111360).

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

18347999040 is a wasteful number, since it uses less digits than its factorization.

18347999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 18347999040 in words is "eighteen billion, three hundred forty-seven million, nine hundred ninety-nine thousand, forty".