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18830234405376 = 293419234373331
BaseRepresentation
bin1000100100000010000010…
…11011101100101000000000
32110200011010102010022210000
410102001001123230220000
54432003310001433001
6104014253521440000
73652303522356162
oct422010133545000
973604112108700
1018830234405376
115aaa948467229
1221415134a0000
13a678b6803634
14491561358932
15229c3e677a86
hex1120416eca00

18830234405376 has 1600 divisors, whose sum is σ = 64228047713280. Its totient is φ = 5462917447680.

The previous prime is 18830234405347. The next prime is 18830234405447. The reversal of 18830234405376 is 67350443203881.

It is a happy number.

18830234405376 is a `hidden beast` number, since 1 + 8 + 8 + 30 + 2 + 34 + 40 + 537 + 6 = 666.

It is a super-2 number, since 2×188302344053762 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56888925531 + ... + 56888925861.

Almost surely, 218830234405376 is an apocalyptic number.

18830234405376 is a gapful number since it is divisible by the number (16) 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 18830234405376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32114023856640).

18830234405376 is an abundant number, since it is smaller than the sum of its proper divisors (45397813307904).

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

18830234405376 is a wasteful number, since it uses less digits than its factorization.

18830234405376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 18830234405376 in words is "eighteen trillion, eight hundred thirty billion, two hundred thirty-four million, four hundred five thousand, three hundred seventy-six".