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18769413312 = 2635131743127
BaseRepresentation
bin10001011110101111…
…101000010011000000
31210110001221222200000
4101132233220103000
5301414432211222
612342245400000
71233060244416
oct213657502300
953401858600
1018769413312
117a61932031
123779a09000
131a01764430
14ca0ab32b6
1574cbdc9ac
hex45ebe84c0

18769413312 has 672 divisors, whose sum is σ = 65609736192. Its totient is φ = 5267275776.

The previous prime is 18769413307. The next prime is 18769413349. The reversal of 18769413312 is 21331496781.

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, 147790593 + ... + 147790719.

It is an arithmetic number, because the mean of its divisors is an integer number (97633536).

Almost surely, 218769413312 is an apocalyptic number.

18769413312 is a gapful number since it is divisible by the number (12) 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 18769413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32804868096).

18769413312 is an abundant number, since it is smaller than the sum of its proper divisors (46840322880).

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

18769413312 is a wasteful number, since it uses less digits than its factorization.

18769413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 18769413312 in words is "eighteen billion, seven hundred sixty-nine million, four hundred thirteen thousand, three hundred twelve".