Search a number
-
+
494985707633664 = 21034131767735521
BaseRepresentation
bin111000010001011111101011…
…1010001011011110000000000
32101220121011122000212002020000
41300202333113101123300000
51004334321212123234124
64512425143410120000
7206155352162200062
oct16042772721336000
92356534560762200
10494985707633664
11133799294787a05
1247623667b80000
1318326c4b566530
148a33616853732
153c35aaa5966c9
hex1c22fd745bc00

494985707633664 has 1760 divisors, whose sum is σ = 1734366149119296. Its totient is φ = 139245272432640.

The previous prime is 494985707633561. The next prime is 494985707633671. The reversal of 494985707633664 is 466336707589494.

494985707633664 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 8 + 570 + 7 + 6 + 3 + 36 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89655079224 + ... + 89655084744.

Almost surely, 2494985707633664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494985707633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867183074559648).

494985707633664 is an abundant number, since it is smaller than the sum of its proper divisors (1239380441485632).

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

494985707633664 is a wasteful number, since it uses less digits than its factorization.

494985707633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 19752284160, while the sum is 81.

The spelling of 494985707633664 in words is "four hundred ninety-four trillion, nine hundred eighty-five billion, seven hundred seven million, six hundred thirty-three thousand, six hundred sixty-four".