Search a number
-
+
18692675997840 = 243251361263281443
BaseRepresentation
bin1000100000000001110100…
…10100000001000010010000
32110012000001201201012020100
410100000322110001002100
54422230100023412330
6103431144035412400
73636333636243225
oct420007224010220
973160051635210
1018692675997840
115a575793136a9
12211a923454100
13a57933a30910
14488a320d594c
1522638ce96060
hex11003a501090

18692675997840 has 960 divisors, whose sum is σ = 69376442623488. Its totient is φ = 4482448588800.

The previous prime is 18692675997839. The next prime is 18692675997847. The reversal of 18692675997840 is 4879957629681.

18692675997840 is a `hidden beast` number, since 18 + 6 + 9 + 2 + 6 + 7 + 599 + 7 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×186926759978402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18692675997840.

It is not an unprimeable number, because it can be changed into a prime (18692675997847) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 42195656659 + ... + 42195657101.

Almost surely, 218692675997840 is an apocalyptic number.

18692675997840 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 18692675997840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34688221311744).

18692675997840 is an abundant number, since it is smaller than the sum of its proper divisors (50683766625648).

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

18692675997840 is a wasteful number, since it uses less digits than its factorization.

18692675997840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 18692675997840 in words is "eighteen trillion, six hundred ninety-two billion, six hundred seventy-five million, nine hundred ninety-seven thousand, eight hundred forty".