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18814068480 = 283571151457
BaseRepresentation
bin10001100001011001…
…111110011100000000
31210120011222201001010
4101201121332130000
5302012400142410
612350522440520
71234141641414
oct214131763400
953504881033
1018814068480
117a85062129
123790963140
131a0aa9aacc
14ca69b8d44
15751aadc20
hex46167e700

18814068480 has 288 divisors, whose sum is σ = 61471484928. Its totient is φ = 4902912000.

The previous prime is 18814068473. The next prime is 18814068491. The reversal of 18814068480 is 8486041881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41168412 + ... + 41168868.

It is an arithmetic number, because the mean of its divisors is an integer number (213442656).

Almost surely, 218814068480 is an apocalyptic number.

18814068480 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 18814068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735742464).

18814068480 is an abundant number, since it is smaller than the sum of its proper divisors (42657416448).

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

18814068480 is a wasteful number, since it uses less digits than its factorization.

18814068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 18814068480 in words is "eighteen billion, eight hundred fourteen million, sixty-eight thousand, four hundred eighty".