Search a number
-
+
979835999140 = 2252324133726227
BaseRepresentation
bin11100100001000101100…
…01101101001110100100
310110200010110022001100101
432100202301231032210
5112023201003433030
62030044101553444
7130535151400345
oct16204261551644
93420113261311
10979835999140
11348600971679
12139a95115884
137152392c39b
14355d24700cc
151a74b4027ca
hexe422c6d3a4

979835999140 has 96 divisors (see below), whose sum is σ = 2162508251904. Its totient is φ = 372216176640.

The previous prime is 979835999113. The next prime is 979835999159. The reversal of 979835999140 is 41999538979.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37346707 + ... + 37372933.

It is an arithmetic number, because the mean of its divisors is an integer number (22526127624).

Almost surely, 2979835999140 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 979835999140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081254125952).

979835999140 is an abundant number, since it is smaller than the sum of its proper divisors (1182672252764).

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

979835999140 is a wasteful number, since it uses less digits than its factorization.

979835999140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26837 (or 26835 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 73.

The spelling of 979835999140 in words is "nine hundred seventy-nine billion, eight hundred thirty-five million, nine hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 241 337 460 482 674 964 1205 1348 1685 2410 3370 4820 5543 6740 7751 11086 15502 22172 26227 27715 31004 38755 52454 55430 77510 81217 104908 110860 131135 155020 162434 262270 324868 406085 524540 603221 812170 1206442 1624340 1867991 2412884 3016105 3735982 6032210 6320707 7471964 8838499 9339955 12064420 12641414 17676998 18679910 25282828 31603535 35353996 37359820 44192495 63207070 88384990 126414140 145376261 176769980 203285477 290752522 406570954 581505044 726881305 813141908 1016427385 1453762610 2032854770 2130078259 2907525220 4065709540 4260156518 8520313036 10650391295 21300782590 42601565180 48991799957 97983599914 195967199828 244958999785 489917999570 979835999140