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18823091040 = 2535513167223
BaseRepresentation
bin10001100001111100…
…011001001101100000
31210120210222002200000
4101201330121031200
5302022202403130
612351444100000
71234311430305
oct214174311540
953523862600
1018823091040
117a8a164996
123793994600
131a0c9097c0
14ca7c870ac
15752792260
hex461f19360

18823091040 has 576 divisors, whose sum is σ = 72490070016. Its totient is φ = 4584978432.

The previous prime is 18823091011. The next prime is 18823091059. The reversal of 18823091040 is 4019032881.

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

It is a junction number, because it is equal to n+sod(n) for n = 18823090986 and 18823091004.

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, 84408369 + ... + 84408591.

It is an arithmetic number, because the mean of its divisors is an integer number (125850816).

Almost surely, 218823091040 is an apocalyptic number.

18823091040 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 18823091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36245035008).

18823091040 is an abundant number, since it is smaller than the sum of its proper divisors (53666978976).

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

18823091040 is a wasteful number, since it uses less digits than its factorization.

18823091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 413 counting only the distinct ones).

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

The spelling of 18823091040 in words is "eighteen billion, eight hundred twenty-three million, ninety-one thousand, forty".