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18816672006 = 23311216972
BaseRepresentation
bin10001100001100011…
…111010000100000110
31210120100212222102000
4101201203322010012
5302014032001011
612351054330130
71234203034026
oct214143720406
953510788360
1018816672006
117a86580200
1237917b9946
131a0b49cb62
14ca7095a86
15751e25356
hex4618fa106

18816672006 has 72 divisors (see below), whose sum is σ = 45988851720. Its totient is φ = 5698661760.

The previous prime is 18816672001. The next prime is 18816672029. The reversal of 18816672006 is 60027661881.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18816672001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11087350 + ... + 11089046.

Almost surely, 218816672006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18816672006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22994425860).

18816672006 is an abundant number, since it is smaller than the sum of its proper divisors (27172179714).

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

18816672006 is an equidigital number, since it uses as much as digits as its factorization.

18816672006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18816672006 in words is "eighteen billion, eight hundred sixteen million, six hundred seventy-two thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1697 2178 3267 3394 5091 6534 10182 15273 18667 30546 37334 45819 56001 91638 112002 168003 205337 336006 410674 504009 616011 1008018 1232022 1848033 2879809 3696066 5544099 5759618 8639427 11088198 17278854 25918281 31677899 51836562 63355798 77754843 95033697 155509686 190067394 285101091 348456889 570202182 696913778 855303273 1045370667 1710606546 2090741334 3136112001 6272224002 9408336003 18816672006