Search a number
-
+
494245150828800 = 2835274171921747
BaseRepresentation
bin111000001100000110110101…
…0101001011010100100000000
32101210222101010100120112022020
41300120031222221122210000
51004240203032103010200
64511101030543441440
7206051014404210000
oct16030155251324400
92353871110515266
10494245150828800
11133533211775568
1247524030bb6280
13182a216b893407
148a09843040000
153c216b5bbcea0
hex1c1836aa5a900

494245150828800 has 3240 divisors, whose sum is σ = 2127622640998176. Its totient is φ = 100671295979520.

The previous prime is 494245150828771. The next prime is 494245150828831. The reversal of 494245150828800 is 8828051542494.

It is a super-2 number, since 2×4942451508288002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 282910789527 + ... + 282910791273.

Almost surely, 2494245150828800 is an apocalyptic number.

494245150828800 is a gapful number since it is divisible by the number (40) 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 494245150828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063811320499088).

494245150828800 is an abundant number, since it is smaller than the sum of its proper divisors (1633377490169376).

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

494245150828800 is a wasteful number, since it uses less digits than its factorization.

494245150828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 494245150828800 in words is "four hundred ninety-four trillion, two hundred forty-five billion, one hundred fifty million, eight hundred twenty-eight thousand, eight hundred".