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18670744664 = 23111371922699
BaseRepresentation
bin10001011000110111…
…001111010001011000
31210012012022002201122
4101120313033101120
5301214202312124
612324402504412
71230451465625
oct213067172130
953165262648
1018670744664
117a1116a8a0
123750965108
1319b7198910
14c9194b34c
157441ec75e
hex458dcf458

18670744664 has 64 divisors (see below), whose sum is σ = 41186880000. Its totient is φ = 7822638720.

The previous prime is 18670744643. The next prime is 18670744667. The reversal of 18670744664 is 46644707681.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18670744667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811187 + ... + 833885.

It is an arithmetic number, because the mean of its divisors is an integer number (643545000).

Almost surely, 218670744664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18670744664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593440000).

18670744664 is an abundant number, since it is smaller than the sum of its proper divisors (22516135336).

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

18670744664 is a wasteful number, since it uses less digits than its factorization.

18670744664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23448 (or 23444 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 18670744664 in words is "eighteen billion, six hundred seventy million, seven hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 719 1144 1438 2876 5752 7909 9347 15818 18694 22699 31636 37388 45398 63272 74776 90796 102817 181592 205634 249689 295087 411268 499378 590174 822536 998756 1180348 1997512 2360696 3245957 6491914 12983828 16320581 25967656 32641162 65282324 130564648 179526391 212167553 359052782 424335106 718105564 848670212 1436211128 1697340424 2333843083 4667686166 9335372332 18670744664