Search a number
-
+
10640466336 = 253192307031
BaseRepresentation
bin10011110100011100…
…01010000110100000
31000110112220200202210
421322032022012200
5133242424410321
64515502042120
7524452320513
oct117216120640
930415820683
1010640466336
1145702a1935
12208b579340
1310075b3c36
1472d240d7a
15424220b76
hex27a38a1a0

10640466336 has 72 divisors (see below), whose sum is σ = 29478756384. Its totient is φ = 3360136320.

The previous prime is 10640466301. The next prime is 10640466359. The reversal of 10640466336 is 63366404601.

It is a super-3 number, since 3×106404663363 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10640466294 and 10640466303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118860 + ... + 188171.

It is an arithmetic number, because the mean of its divisors is an integer number (409427172).

Almost surely, 210640466336 is an apocalyptic number.

10640466336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10640466336 is an abundant number, since it is smaller than the sum of its proper divisors (18838290048).

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

10640466336 is a wasteful number, since it uses less digits than its factorization.

10640466336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307082 (or 307055 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 10640466336 in words is "ten billion, six hundred forty million, four hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 361 456 608 722 912 1083 1444 1824 2166 2888 4332 5776 8664 11552 17328 34656 307031 614062 921093 1228124 1842186 2456248 3684372 4912496 5833589 7368744 9824992 11667178 14737488 17500767 23334356 29474976 35001534 46668712 70003068 93337424 110838191 140006136 186674848 221676382 280012272 332514573 443352764 560024544 665029146 886705528 1330058292 1773411056 2660116584 3546822112 5320233168 10640466336