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18906103920 = 2435111731107127
BaseRepresentation
bin10001100110111001…
…000100000001110000
31210210121011120221010
4101212321010001300
5302204430311140
612404011230520
71236340142334
oct214671040160
953717146833
1018906103920
118022003780
1237b7748440
131a23b83352
14cb4cd57c4
15759bdd880
hex466e44070

18906103920 has 640 divisors, whose sum is σ = 71090307072. Its totient is φ = 4102963200.

The previous prime is 18906103913. The next prime is 18906103949. The reversal of 18906103920 is 2930160981.

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 127 ways as a sum of consecutive naturals, for example, 148866897 + ... + 148867023.

Almost surely, 218906103920 is an apocalyptic number.

18906103920 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 18906103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35545153536).

18906103920 is an abundant number, since it is smaller than the sum of its proper divisors (52184203152).

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

18906103920 is a wasteful number, since it uses less digits than its factorization.

18906103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 18906103920 in words is "eighteen billion, nine hundred six million, one hundred three thousand, nine hundred twenty".