Search a number
-
+
8130298688 = 261741182261
BaseRepresentation
bin1111001001001101…
…01000001101000000
3202222121120222002122
413210212220031000
5113122324024223
63422432303412
7405322253501
oct74446501500
922877528078
108130298688
1134a2383816
1216aa9a1b68
139c7534835
14571b04ba8
15328b875c8
hex1e49a8340

8130298688 has 56 divisors (see below), whose sum is σ = 17499339144. Its totient is φ = 3732684800.

The previous prime is 8130298663. The next prime is 8130298691. The reversal of 8130298688 is 8868920318.

It can be written as a sum of positive squares in 4 ways, for example, as 1055470144 + 7074828544 = 32488^2 + 84112^2 .

It is a super-3 number, since 3×81302986883 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46523 + ... + 135738.

It is an arithmetic number, because the mean of its divisors is an integer number (312488199).

Almost surely, 28130298688 is an apocalyptic number.

It is an amenable number.

8130298688 is an abundant number, since it is smaller than the sum of its proper divisors (9369040456).

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

8130298688 is a wasteful number, since it uses less digits than its factorization.

8130298688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182331 (or 182321 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The square root of 8130298688 is about 90168.1689289519. The cubic root of 8130298688 is about 2010.7998011771.

The spelling of 8130298688 in words is "eight billion, one hundred thirty million, two hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 11152 22304 44608 182261 364522 729044 1458088 2916176 3098437 5832352 6196874 7472701 11664704 12393748 14945402 24787496 29890804 49574992 59781608 99149984 119563216 127035917 198299968 239126432 254071834 478252864 508143668 1016287336 2032574672 4065149344 8130298688