Search a number
-
+
18743390064 = 2433773197431
BaseRepresentation
bin10001011101001100…
…010110111101110000
31210101020222212111000
4101131030112331300
5301341301440224
612335515522000
71232323121040
oct213514267560
953336885430
1018743390064
117a49178413
123771159300
1319c9252569
14c9b45b720
1574a79c0c9
hex45d316f70

18743390064 has 320 divisors, whose sum is σ = 62790266880. Its totient is φ = 5242890240.

The previous prime is 18743390059. The next prime is 18743390131. The reversal of 18743390064 is 46009334781.

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, 43487929 + ... + 43488359.

It is an arithmetic number, because the mean of its divisors is an integer number (196219584).

Almost surely, 218743390064 is an apocalyptic number.

18743390064 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 18743390064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395133440).

18743390064 is an abundant number, since it is smaller than the sum of its proper divisors (44046876816).

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

18743390064 is a wasteful number, since it uses less digits than its factorization.

18743390064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 18743390064 in words is "eighteen billion, seven hundred forty-three million, three hundred ninety thousand, sixty-four".