Search a number
-
+
682353637057 = 31181127795231
BaseRepresentation
bin10011110110111110111…
…00100011011011000001
32102020021101202021120001
421323133130203123001
542134430012341212
61241245142320001
7100204234134151
oct11733734433301
92366241667501
10682353637057
11243425925a74
12b02b2a29001
134c465597171
1425051850761
1512b39ca5657
hex9edf7236c1

682353637057 has 16 divisors (see below), whose sum is σ = 708818632704. Its totient is φ = 656172792000.

The previous prime is 682353637033. The next prime is 682353637073. The reversal of 682353637057 is 750736353286.

It is a cyclic number.

It is not a de Polignac number, because 682353637057 - 219 = 682353112769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 682353636989 and 682353637007.

It is not an unprimeable number, because it can be changed into a prime (682353637157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7117632 + ... + 7212862.

It is an arithmetic number, because the mean of its divisors is an integer number (44301164544).

Almost surely, 2682353637057 is an apocalyptic number.

It is an amenable number.

682353637057 is a deficient number, since it is larger than the sum of its proper divisors (26464995647).

682353637057 is a wasteful number, since it uses less digits than its factorization.

682353637057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96720.

The product of its (nonzero) digits is 19051200, while the sum is 55.

The spelling of 682353637057 in words is "six hundred eighty-two billion, three hundred fifty-three million, six hundred thirty-seven thousand, fifty-seven".

Divisors: 1 31 181 1277 5611 39587 95231 231137 2952161 7165247 17236811 121609987 534341141 3769909597 22011407647 682353637057