Search a number
-
+
18202834944 = 211337313741
BaseRepresentation
bin10000111100111110…
…010011100000000000
31201222120211211021000
4100330332103200000
5244234411204234
612210125532000
71213040354430
oct207476234000
951876754230
1018202834944
1177a1031348
123640114000
13194126b068
14c4974a2c0
157180c2899
hex43cf93800

18202834944 has 768 divisors, whose sum is σ = 66924748800. Its totient is φ = 4777574400.

The previous prime is 18202834931. The next prime is 18202834963. The reversal of 18202834944 is 44943820281.

18202834944 is a `hidden beast` number, since 1 + 82 + 0 + 2 + 83 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 18202834944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443971564 + ... + 443971604.

It is an arithmetic number, because the mean of its divisors is an integer number (87141600).

Almost surely, 218202834944 is an apocalyptic number.

18202834944 is a gapful number since it is divisible by the number (14) 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 18202834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33462374400).

18202834944 is an abundant number, since it is smaller than the sum of its proper divisors (48721913856).

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

18202834944 is a wasteful number, since it uses less digits than its factorization.

18202834944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18202834944 in words is "eighteen billion, two hundred two million, eight hundred thirty-four thousand, nine hundred forty-four".