Search a number
-
+
494260183872 = 263372131923633
BaseRepresentation
bin1110011000101000011…
…00111110001101000000
31202020202211201211202000
413030110030332031000
531044221101340442
61015020543024000
750465141146500
oct7142414761500
91666684654660
10494260183872
11180683a96704
127b95a89b000
13377bac4bb80
1419ccabc1a00
15cccbc91d4c
hex731433e340

494260183872 has 672 divisors, whose sum is σ = 1916169091200. Its totient is φ = 123488354304.

The previous prime is 494260183849. The next prime is 494260183897. The reversal of 494260183872 is 278381062494.

494260183872 is a `hidden beast` number, since 494 + 2 + 6 + 0 + 1 + 83 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4942601838722 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20902168 + ... + 20925800.

It is an arithmetic number, because the mean of its divisors is an integer number (2851442100).

Almost surely, 2494260183872 is an apocalyptic number.

494260183872 is a gapful number since it is divisible by the number (42) 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 494260183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958084545600).

494260183872 is an abundant number, since it is smaller than the sum of its proper divisors (1421908907328).

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

494260183872 is a wasteful number, since it uses less digits than its factorization.

494260183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23700 (or 23677 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 494260183872 in words is "four hundred ninety-four billion, two hundred sixty million, one hundred eighty-three thousand, eight hundred seventy-two".