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18379210752 = 21532729307
BaseRepresentation
bin10001000111011111…
…001000000000000000
31202102212201122101100
4101013133020000000
5300120034221002
612235430134400
71220311466550
oct210737100000
952385648340
1018379210752
117881649081
12368b1b1400
13196b973446
14c64d3d160
1572881211c
hex4477c8000

18379210752 has 384 divisors, whose sum is σ = 62976513600. Its totient is φ = 5053612032.

The previous prime is 18379210747. The next prime is 18379210771. The reversal of 18379210752 is 25701297381.

18379210752 is a `hidden beast` number, since 18 + 379 + 210 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 18379210698 and 18379210707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59866983 + ... + 59867289.

Almost surely, 218379210752 is an apocalyptic number.

18379210752 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 18379210752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31488256800).

18379210752 is an abundant number, since it is smaller than the sum of its proper divisors (44597302848).

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

18379210752 is an equidigital number, since it uses as much as digits as its factorization.

18379210752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 18379210752 in words is "eighteen billion, three hundred seventy-nine million, two hundred ten thousand, seven hundred fifty-two".