Search a number
-
+
46853918688 = 25317434491487
BaseRepresentation
bin101011101000101101…
…100000111111100000
311110221022220200101210
4223220231200333200
51231424100344223
633305134030120
73246040511013
oct535055407740
9143838820353
1046853918688
11189638a7655
1290b7348340
13455902c155
1423a697d37a
151343597893
hexae8b60fe0

46853918688 has 192 divisors, whose sum is σ = 133641446400. Its totient is φ = 14315814912.

The previous prime is 46853918659. The next prime is 46853918693. The reversal of 46853918688 is 88681935864.

46853918688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31508281 + ... + 31509767.

It is an arithmetic number, because the mean of its divisors is an integer number (696049200).

Almost surely, 246853918688 is an apocalyptic number.

46853918688 is a gapful number since it is divisible by the number (48) 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 46853918688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66820723200).

46853918688 is an abundant number, since it is smaller than the sum of its proper divisors (86787527712).

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

46853918688 is a wasteful number, since it uses less digits than its factorization.

46853918688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2001 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 66.

The spelling of 46853918688 in words is "forty-six billion, eight hundred fifty-three million, nine hundred eighteen thousand, six hundred eighty-eight".