Search a number
-
+
482718883968 = 2733139675603
BaseRepresentation
bin1110000011001000100…
…10011010000010000000
31201010222111202001122000
413001210102122002000
530402102013241333
61005431420544000
746606136546016
oct7014422320200
91633874661560
10482718883968
111767a1253222
12796796b2000
133669bb3c029
14195140888b6
15c85392c713
hex706449a080

482718883968 has 64 divisors (see below), whose sum is σ = 1424691160800. Its totient is φ = 160906293504.

The previous prime is 482718883967. The next prime is 482718883979. The reversal of 482718883968 is 869388817284.

482718883968 is a `hidden beast` number, since 482 + 7 + 1 + 8 + 8 + 83 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4827188839682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 482718883896 and 482718883905.

It is not an unprimeable number, because it can be changed into a prime (482718883967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69834346 + ... + 69841257.

Almost surely, 2482718883968 is an apocalyptic number.

482718883968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

482718883968 is an abundant number, since it is smaller than the sum of its proper divisors (941972276832).

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

482718883968 is a wasteful number, since it uses less digits than its factorization.

482718883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139675626 (or 139675608 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 482718883968 in words is "four hundred eighty-two billion, seven hundred eighteen million, eight hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 139675603 279351206 419026809 558702412 838053618 1117404824 1257080427 1676107236 2234809648 2514160854 3352214472 3771241281 4469619296 5028321708 6704428944 7542482562 8939238592 10056643416 13408857888 15084965124 17878477184 20113286832 26817715776 30169930248 40226573664 53635431552 60339860496 80453147328 120679720992 160906294656 241359441984 482718883968