Search a number
-
+
16464688583112 = 23337112316147591
BaseRepresentation
bin1110111110010111101111…
…1010100001000111001000
32011022000020110022200101000
43233211323322201013020
54124224140234124422
655003435025055000
73316351221551640
oct357457372410710
964260213280330
1016464688583112
1152786a9520800
121a1ab72a87460
139257c8a47b63
1440cc7652d520
151d843e966cac
hexef97bea11c8

16464688583112 has 768 divisors, whose sum is σ = 60279341875200. Its totient is φ = 4070658240000.

The previous prime is 16464688583089. The next prime is 16464688583117. The reversal of 16464688583112 is 21138588646461.

16464688583112 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 46 + 8 + 8 + 583 + 1 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 16464688583112.

It is not an unprimeable number, because it can be changed into a prime (16464688583117) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345938437 + ... + 345986027.

It is an arithmetic number, because the mean of its divisors is an integer number (78488726400).

Almost surely, 216464688583112 is an apocalyptic number.

16464688583112 is a gapful number since it is divisible by the number (12) 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 16464688583112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139670937600).

16464688583112 is an abundant number, since it is smaller than the sum of its proper divisors (43814653292088).

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

16464688583112 is a wasteful number, since it uses less digits than its factorization.

16464688583112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47727 (or 47706 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 16464688583112 in words is "sixteen trillion, four hundred sixty-four billion, six hundred eighty-eight million, five hundred eighty-three thousand, one hundred twelve".