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18745135668 = 22377443691
BaseRepresentation
bin10001011101010011…
…000001001000110100
31210101101021120000000
4101131103001020310
5301342223320133
612340021151300
71232344011210
oct213523011064
953341246000
1018745135668
117a4a15a966
12377185b530
1319c9713c6c
14c9b793940
1574a9e4413
hex45d4c1234

18745135668 has 192 divisors, whose sum is σ = 56435312640. Its totient is φ = 5335930080.

The previous prime is 18745135667. The next prime is 18745135699. The reversal of 18745135668 is 86653154781.

It is a happy number.

18745135668 is a `hidden beast` number, since 1 + 8 + 74 + 5 + 1 + 3 + 566 + 8 = 666.

It is a super-2 number, since 2×187451356682 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18745135667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27127203 + ... + 27127893.

It is an arithmetic number, because the mean of its divisors is an integer number (293933920).

Almost surely, 218745135668 is an apocalyptic number.

18745135668 is a gapful number since it is divisible by the number (18) 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 18745135668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28217656320).

18745135668 is an abundant number, since it is smaller than the sum of its proper divisors (37690176972).

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

18745135668 is an equidigital number, since it uses as much as digits as its factorization.

18745135668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1146 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 18745135668 in words is "eighteen billion, seven hundred forty-five million, one hundred thirty-five thousand, six hundred sixty-eight".