Search a number
-
+
18075489657456 = 24371123434944949
BaseRepresentation
bin1000001110000100001110…
…01000111110001001110000
32100222222222221201120212210
410013002013020332021300
54332122100323014311
6102235433150252120
73543624325020450
oct407020710761160
970888887646783
1018075489657456
115839854759210
12203b198ab7040
13a116855c923a
14466c03507d60
152152b93e43a6
hex10708723e270

18075489657456 has 320 divisors, whose sum is σ = 62161107148800. Its totient is φ = 4386366673920.

The previous prime is 18075489657431. The next prime is 18075489657509. The reversal of 18075489657456 is 65475698457081.

It is a happy number.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

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, 1182870 + ... + 6127818.

It is an arithmetic number, because the mean of its divisors is an integer number (194253459840).

Almost surely, 218075489657456 is an apocalyptic number.

18075489657456 is a gapful number since it is divisible by the number (16) 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 18075489657456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31080553574400).

18075489657456 is an abundant number, since it is smaller than the sum of its proper divisors (44085617491344).

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

18075489657456 is a wasteful number, since it uses less digits than its factorization.

18075489657456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945044 (or 4945038 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 75.

The spelling of 18075489657456 in words is "eighteen trillion, seventy-five billion, four hundred eighty-nine million, six hundred fifty-seven thousand, four hundred fifty-six".