Search a number
-
+
130832910588 = 2231710919929567
BaseRepresentation
bin111100111011000111…
…1111100100011111100
3110111200222012111011010
41321312033330203330
54120421211114323
6140034231155220
712311106251052
oct1716617744374
9414628174133
10130832910588
1150538849196
1221433815b10
13c45060b433
146491d601d2
15360b03bc93
hex1e763fc8fc

130832910588 has 96 divisors (see below), whose sum is σ = 327849984000. Its totient is φ = 40463318016.

The previous prime is 130832910583. The next prime is 130832910589. The reversal of 130832910588 is 885019238031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130832910583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4410181 + ... + 4439747.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104000).

Almost surely, 2130832910588 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 130832910588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992000).

130832910588 is an abundant number, since it is smaller than the sum of its proper divisors (197017073412).

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

130832910588 is a wasteful number, since it uses less digits than its factorization.

130832910588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29899 (or 29897 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 130832910588 in words is "one hundred thirty billion, eight hundred thirty-two million, nine hundred ten thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 199 204 218 327 398 436 597 654 796 1194 1308 1853 2388 3383 3706 5559 6766 7412 10149 11118 13532 20298 21691 22236 29567 40596 43382 59134 65073 86764 88701 118268 130146 177402 260292 354804 368747 502639 737494 1005278 1106241 1474988 1507917 2010556 2212482 3015834 3222803 4424964 5883833 6031668 6445606 9668409 11767666 12891212 17651499 19336818 23535332 35302998 38673636 54787651 70605996 100025161 109575302 164362953 200050322 219150604 300075483 328725906 400100644 600150966 641337797 657451812 1200301932 1282675594 1924013391 2565351188 3848026782 7696053564 10902742549 21805485098 32708227647 43610970196 65416455294 130832910588