Search a number
-
+
18990824384 = 267311136303
BaseRepresentation
bin10001101011111100…
…001111101111000000
31211000111120211120002
4101223330033233000
5302343122340014
612420235135132
71241416225640
oct215374175700
954014524502
1018990824384
118065909494
12381bba44a8
131a385a71bc
14cc226a520
15762375dde
hex46bf0fbc0

18990824384 has 56 divisors (see below), whose sum is σ = 43207277568. Its totient is φ = 8112695040.

The previous prime is 18990824383. The next prime is 18990824401. The reversal of 18990824384 is 48342809981.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18990824381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71177 + ... + 207479.

It is an arithmetic number, because the mean of its divisors is an integer number (771558528).

Almost surely, 218990824384 is an apocalyptic number.

18990824384 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 18990824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21603638784).

18990824384 is an abundant number, since it is smaller than the sum of its proper divisors (24216453184).

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

18990824384 is a wasteful number, since it uses less digits than its factorization.

18990824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136633 (or 136623 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 18990824384 in words is "eighteen billion, nine hundred ninety million, eight hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 311 448 622 1244 2177 2488 4354 4976 8708 9952 17416 19904 34832 69664 136303 139328 272606 545212 954121 1090424 1908242 2180848 3816484 4361696 7632968 8723392 15265936 30531872 42390233 61063744 84780466 169560932 296731631 339121864 593463262 678243728 1186926524 1356487456 2373853048 2712974912 4747706096 9495412192 18990824384