Search a number
-
+
102839598232 = 2378321272099
BaseRepresentation
bin101111111000110110…
…1111011110010011000
3100211110001211212201121
41133301231323302120
53141103414120412
6115124401255024
710300314106360
oct1376155736230
9324401755647
10102839598232
113a6832aa2a8
1217b20934474
13990bbc2697
144d982319a0
152a1d697107
hex17f1b7bc98

102839598232 has 96 divisors (see below), whose sum is σ = 224921088000. Its totient is φ = 43179659712.

The previous prime is 102839598161. The next prime is 102839598241. The reversal of 102839598232 is 232895938201.

It is a self number, because there is not a number n which added to its sum of digits gives 102839598232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48993519 + ... + 48995617.

It is an arithmetic number, because the mean of its divisors is an integer number (2342928000).

Almost surely, 2102839598232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102839598232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112460544000).

102839598232 is an abundant number, since it is smaller than the sum of its proper divisors (122081489768).

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

102839598232 is a wasteful number, since it uses less digits than its factorization.

102839598232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 102839598232 in words is "one hundred two billion, eight hundred thirty-nine million, five hundred ninety-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 83 127 166 254 332 508 581 664 889 1016 1162 1778 2099 2324 3556 4198 4648 6889 7112 8396 10541 13778 14693 16792 21082 27556 29386 42164 48223 55112 58772 73787 84328 96446 117544 147574 174217 192892 266573 295148 348434 385784 533146 590296 696868 874903 1066292 1219519 1393736 1749806 1866011 2132584 2439038 3499612 3732022 4878076 6124321 6999224 7464044 9756152 12248642 14460011 14928088 22125559 24497284 28920022 44251118 48994568 57840044 88502236 101220077 115680088 154878913 177004472 202440154 309757826 404880308 619515652 809760616 1239031304 1836421397 3672842794 7345685588 12854949779 14691371176 25709899558 51419799116 102839598232