Search a number
-
+
10492846649285 = 57111310120757157
BaseRepresentation
bin1001100010110000111001…
…1001011010111111000101
31101011002212112011002122112
42120230032121122333011
52333403322220234120
634152202555110405
72132040343631030
oct230541631327705
941132775132575
1010492846649285
113385a9a427220
121215701142405
135b161829a2a0
14283bdc2b8017
15132e22a69bc5
hex98b0e65afc5

10492846649285 has 64 divisors (see below), whose sum is σ = 17073343655424. Its totient is φ = 5978060928000.

The previous prime is 10492846649281. The next prime is 10492846649353. The reversal of 10492846649285 is 58294664829401.

It is not a de Polignac number, because 10492846649285 - 22 = 10492846649281 is a prime.

It is a super-2 number, since 2×104928466492852 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10492846649281) 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 63 ways as a sum of consecutive naturals, for example, 9873074 + ... + 10884083.

It is an arithmetic number, because the mean of its divisors is an integer number (266770994616).

Almost surely, 210492846649285 is an apocalyptic number.

It is an amenable number.

10492846649285 is a deficient number, since it is larger than the sum of its proper divisors (6580497006139).

10492846649285 is a wasteful number, since it uses less digits than its factorization.

10492846649285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20757294.

The product of its (nonzero) digits is 238878720, while the sum is 68.

The spelling of 10492846649285 in words is "ten trillion, four hundred ninety-two billion, eight hundred forty-six million, six hundred forty-nine thousand, two hundred eighty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 101 143 385 455 505 707 715 1001 1111 1313 3535 5005 5555 6565 7777 9191 14443 38885 45955 72215 101101 505505 20757157 103785785 145300099 228328727 269843041 726500495 1141643635 1349215205 1598301089 1888901287 2096472857 2968273451 7991505445 9444506435 10482364285 14675309999 14841367255 20777914157 23061201427 27254147141 73376549995 103889570785 115306007135 136270735705 161428409989 190779029987 299795618551 807142049945 953895149935 1498978092755 2098569329857 10492846649285