Search a number
-
+
663244875216 = 243471137263683
BaseRepresentation
bin10011010011011000111…
…10011010010111010000
32100101221200020121020000
421221230132122113100
541331311142001331
61224405051250000
765626553264220
oct11515436322720
92311850217200
10663244875216
1123630a494410
12a865b449900
134a70b738ab1
142415ba84080
15123bc3d50e6
hex9a6c79a5d0

663244875216 has 800 divisors, whose sum is σ = 2470938421248. Its totient is φ = 166733614080.

The previous prime is 663244875211. The next prime is 663244875229. The reversal of 663244875216 is 612578442366.

663244875216 is a `hidden beast` number, since 6 + 6 + 32 + 4 + 4 + 87 + 521 + 6 = 666.

663244875216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6632448752162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663244875211) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 971075611 + ... + 971076293.

Almost surely, 2663244875216 is an apocalyptic number.

663244875216 is a gapful number since it is divisible by the number (66) 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 663244875216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235469210624).

663244875216 is an abundant number, since it is smaller than the sum of its proper divisors (1807693546032).

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

663244875216 is a wasteful number, since it uses less digits than its factorization.

663244875216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 663244875216 in words is "six hundred sixty-three billion, two hundred forty-four million, eight hundred seventy-five thousand, two hundred sixteen".