Search a number
-
+
18279313472 = 267331123269
BaseRepresentation
bin10001000001100010…
…000011000001000000
31202011220202100002002
4101001202003001000
5244414001012342
612221501043132
71214656413050
oct210142030100
952156670062
1018279313472
117830217842
1236618564a8
131954067624
14c55977560
1571eb7cd32
hex441883040

18279313472 has 56 divisors (see below), whose sum is σ = 41580450240. Its totient is φ = 7810260480.

The previous prime is 18279313469. The next prime is 18279313501. The reversal of 18279313472 is 27431397281.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86654 + ... + 209922.

It is an arithmetic number, because the mean of its divisors is an integer number (742508040).

Almost surely, 218279313472 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 18279313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790225120).

18279313472 is an abundant number, since it is smaller than the sum of its proper divisors (23301136768).

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

18279313472 is a wasteful number, since it uses less digits than its factorization.

18279313472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123619 (or 123609 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The spelling of 18279313472 in words is "eighteen billion, two hundred seventy-nine million, three hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 331 448 662 1324 2317 2648 4634 5296 9268 10592 18536 21184 37072 74144 123269 148288 246538 493076 862883 986152 1725766 1972304 3451532 3944608 6903064 7889216 13806128 27612256 40802039 55224512 81604078 163208156 285614273 326416312 571228546 652832624 1142457092 1305665248 2284914184 2611330496 4569828368 9139656736 18279313472