Search a number
-
+
10117639182 = 2371776918427
BaseRepresentation
bin10010110110000111…
…01110110000001110
3222010010010022202010
421123003232300032
5131210103423212
64351544042050
7505503341220
oct113303566016
928103108663
1010117639182
114322164082
121b64463326
13c53198961
146bda26410
153e339903c
hex25b0eec0e

10117639182 has 64 divisors (see below), whose sum is σ = 24519559680. Its totient is φ = 2717024256.

The previous prime is 10117639163. The next prime is 10117639187. The reversal of 10117639182 is 28193671101.

10117639182 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10117639182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117639187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539853 + ... + 558279.

It is an arithmetic number, because the mean of its divisors is an integer number (383118120).

Almost surely, 210117639182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117639182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259779840).

10117639182 is an abundant number, since it is smaller than the sum of its proper divisors (14401920498).

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

10117639182 is a wasteful number, since it uses less digits than its factorization.

10117639182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19225.

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 10117639182 in words is "ten billion, one hundred seventeen million, six hundred thirty-nine thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 769 1538 2307 4614 5383 10766 13073 16149 18427 26146 32298 36854 39219 55281 78438 91511 110562 128989 183022 257978 274533 313259 386967 549066 626518 773934 939777 1879554 2192813 4385626 6578439 13156878 14170363 28340726 42511089 85022178 99192541 198385082 240896171 297577623 481792342 595155246 722688513 1445377026 1686273197 3372546394 5058819591 10117639182