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18862000920 = 23325710968669
BaseRepresentation
bin10001100100010000…
…110100101100011000
31210200112011220222200
4101210100310230120
5302112133012140
612355354050200
71235263235220
oct214420645430
953615156880
1018862000920
117aaa120514
1237a4a19960
131a179b10b9
14cad0d5080
15755dcb030
hex464434b18

18862000920 has 192 divisors, whose sum is σ = 70702632000. Its totient is φ = 4271698944.

The previous prime is 18862000919. The next prime is 18862000951. The reversal of 18862000920 is 2900026881.

18862000920 is a `hidden beast` number, since 1 + 8 + 8 + 620 + 0 + 0 + 9 + 20 = 666.

It is a Cunningham number, because it is equal to 1373392-1.

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 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, 240346 + ... + 309014.

It is an arithmetic number, because the mean of its divisors is an integer number (368242875).

Almost surely, 218862000920 is an apocalyptic number.

18862000920 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 18862000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35351316000).

18862000920 is an abundant number, since it is smaller than the sum of its proper divisors (51840631080).

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

18862000920 is a wasteful number, since it uses less digits than its factorization.

18862000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68802 (or 68795 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18862000920 in words is "eighteen billion, eight hundred sixty-two million, nine hundred twenty", and thus it is an aban number.