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18338052096 = 211327132292
BaseRepresentation
bin10001000101000010…
…000111100000000000
31202100000021120022200
4101011002013200000
5300024020131341
612231400033200
71216301604510
oct210502074000
952300246280
1018338052096
117860396a61
123679462800
131963292400
14c5d6a7840
15724dd1db6
hex445087800

18338052096 has 648 divisors, whose sum is σ = 67882290840. Its totient is φ = 4669636608.

The previous prime is 18338052091. The next prime is 18338052101. The reversal of 18338052096 is 69025083381.

It is a happy number.

18338052096 is a `hidden beast` number, since 1 + 8 + 3 + 38 + 0 + 520 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (18338052091) and next prime (18338052101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18338052091) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 632346610 + ... + 632346638.

Almost surely, 218338052096 is an apocalyptic number.

18338052096 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 18338052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33941145420).

18338052096 is an abundant number, since it is smaller than the sum of its proper divisors (49544238744).

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

18338052096 is a wasteful number, since it uses less digits than its factorization.

18338052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 18338052096 in words is "eighteen billion, three hundred thirty-eight million, fifty-two thousand, ninety-six".