Search a number
-
+
264615123546656 = 25108531139366877
BaseRepresentation
bin111100001010101010000010…
…011100001111001000100000
31021200220221212221012002210122
4330022222002130033020200
5234140423233111443111
62334442302022215412
7106510545304326221
oct7412520234171040
91250827787162718
10264615123546656
1177350709816003
1225818225584568
13b4861398a866c
14494b624325248
15208d3a7535cdb
hexf0aa8270f220

264615123546656 has 48 divisors (see below), whose sum is σ = 521062547917464. Its totient is φ = 132281780895744.

The previous prime is 264615123546619. The next prime is 264615123546659. The reversal of 264615123546656 is 656645321516462.

It can be written as a sum of positive squares in 4 ways, for example, as 186141817824400 + 78473305722256 = 13643380^2 + 8858516^2 .

It is a super-2 number, since 2×2646151235466562 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264615123546659) 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 7 ways as a sum of consecutive naturals, for example, 3956709890 + ... + 3956776766.

Almost surely, 2264615123546656 is an apocalyptic number.

It is an amenable number.

264615123546656 is a deficient number, since it is larger than the sum of its proper divisors (256447424370808).

264615123546656 is a wasteful number, since it uses less digits than its factorization.

264615123546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89133 (or 89125 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 62.

The spelling of 264615123546656 in words is "two hundred sixty-four trillion, six hundred fifteen billion, one hundred twenty-three million, five hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 10853 11393 21706 22786 43412 45572 66877 86824 91144 133754 173648 182288 267508 347296 364576 535016 1070032 2140064 123648229 247296458 494592916 725816081 761929661 989185832 1451632162 1523859322 1978371664 2903264324 3047718644 3956743328 5806528648 6095437288 11613057296 12190874576 23226114592 24381749152 8269222610833 16538445221666 33076890443332 66153780886664 132307561773328 264615123546656