Search a number
-
+
493143387696 = 243231110471189
BaseRepresentation
bin1110010110100011010…
…00101110111000110000
31202010220000021201101200
413023101220232320300
531034424201401241
61014314050131200
750425360430121
oct7132150567060
91663800251350
10493143387696
1118016064a163
127b6a8880b00
133767076a12b
1419c22750048
15cc63bde4b6
hex72d1a2ee30

493143387696 has 60 divisors (see below), whose sum is σ = 1424636466240. Its totient is φ = 159078510720.

The previous prime is 493143387647. The next prime is 493143387697. The reversal of 493143387696 is 696783341394.

493143387696 is a `hidden beast` number, since 4 + 9 + 31 + 433 + 87 + 6 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (493143387697) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55231131 + ... + 55240058.

It is an arithmetic number, because the mean of its divisors is an integer number (23743941104).

Almost surely, 2493143387696 is an apocalyptic number.

It is an amenable number.

493143387696 is an abundant number, since it is smaller than the sum of its proper divisors (931493078544).

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

493143387696 is a wasteful number, since it uses less digits than its factorization.

493143387696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110471234 (or 110471225 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 493143387696 in words is "four hundred ninety-three billion, one hundred forty-three million, three hundred eighty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 110471189 220942378 331413567 441884756 662827134 883769512 994240701 1325654268 1767539024 1988481402 2651308536 3424606859 3976962804 5302617072 6849213718 7953925608 10273820577 13698427436 15907851216 20547641154 27396854872 30821461731 41095282308 54793709744 61642923462 82190564616 123285846924 164381129232 246571693848 493143387696