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18952000704 = 2633713273127
BaseRepresentation
bin10001101001101000…
…001001010011000000
31210220210112101111000
4101221220021103000
5302303203010304
612412331052000
71240435230240
oct215150112300
953823471430
1018952000704
118045a016aa
12380aba1000
131a30532c00
14cbb041b20
1575dc57939
hex469a094c0

18952000704 has 672 divisors, whose sum is σ = 70444400640. Its totient is φ = 4891041792.

The previous prime is 18952000651. The next prime is 18952000763. The reversal of 18952000704 is 40700025981.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149228289 + ... + 149228415.

Almost surely, 218952000704 is an apocalyptic number.

18952000704 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 18952000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35222200320).

18952000704 is an abundant number, since it is smaller than the sum of its proper divisors (51492399936).

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

18952000704 is a wasteful number, since it uses less digits than its factorization.

18952000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 18952000704 in words is "eighteen billion, nine hundred fifty-two million, seven hundred four", and thus it is an aban number.