Search a number
-
+
18835109314560 = 226365711
BaseRepresentation
bin1000100100001011001000…
…00000000000000000000000
32110200121201011010101000000
410102011210000000000000
54432043300441031220
6104020421344000000
73652535365410330
oct422054400000000
973617634111000
1018835109314560
116001a1a1a56a0
122142454000000
13a681b2775096
144918a49770c0
15229e27620390
hex112164000000

18835109314560 has 1512 divisors, whose sum is σ = 84499185951936. Its totient is φ = 3913788948480.

The previous prime is 18835109314519. The next prime is 18835109314583. The reversal of 18835109314560 is 6541390153881.

18835109314560 is a `hidden beast` number, since 1 + 8 + 8 + 35 + 10 + 9 + 31 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×188351093145602 (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 a junction number, because it is equal to n+sod(n) for n = 18835109314497 and 18835109314506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1712282664955 + ... + 1712282664965.

Almost surely, 218835109314560 is an apocalyptic number.

18835109314560 is a gapful number since it is divisible by the number (10) 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 18835109314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42249592975968).

18835109314560 is an abundant number, since it is smaller than the sum of its proper divisors (65664076637376).

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

18835109314560 is an frugal number, since it uses more digits than its factorization.

18835109314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 18835109314560 in words is "eighteen trillion, eight hundred thirty-five billion, one hundred nine million, three hundred fourteen thousand, five hundred sixty".