Search a number
-
+
10675301632 = 2897429901
BaseRepresentation
bin10011111000100110…
…00010110100000000
31000112222110111210221
421330103002310000
5133330334123012
64523144432424
7525354365242
oct117423026400
930488414727
1010675301632
114588a25136
12209b178714
13101188ca38
14733b0c092
15427302507
hex27c4c2d00

10675301632 has 36 divisors (see below), whose sum is σ = 21528632356. Its totient is φ = 5282611200.

The previous prime is 10675301603. The next prime is 10675301731. The reversal of 10675301632 is 23610357601.

It can be written as a sum of positive squares in 2 ways, for example, as 6031696896 + 4643604736 = 77664^2 + 68144^2 .

It is a super-3 number, since 3×106753016323 (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 3 ways as a sum of consecutive naturals, for example, 190119 + ... + 239782.

Almost surely, 210675301632 is an apocalyptic number.

It is an amenable number.

10675301632 is an abundant number, since it is smaller than the sum of its proper divisors (10853330724).

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

10675301632 is an frugal number, since it uses more digits than its factorization.

10675301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430014 (or 430000 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 10675301632 in words is "ten billion, six hundred seventy-five million, three hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 776 1552 3104 6208 12416 24832 429901 859802 1719604 3439208 6878416 13756832 27513664 41700397 55027328 83400794 110054656 166801588 333603176 667206352 1334412704 2668825408 5337650816 10675301632