Search a number
-
+
12913602390 = 2345131772139
BaseRepresentation
bin11000000011011010…
…11110111101010110
31020022222012222020000
430001231132331112
5202421340234030
65533223152130
7635003544363
oct140155367526
936288188200
1012913602390
115527434677
1226048a5646
1312aa511660
148a70b946a
15508a87860
hex301b5ef56

12913602390 has 160 divisors (see below), whose sum is σ = 39594471840. Its totient is φ = 2991707136.

The previous prime is 12913602367. The next prime is 12913602419. The reversal of 12913602390 is 9320631921.

It is a happy number.

12913602390 is a `hidden beast` number, since 1 + 2 + 9 + 13 + 602 + 39 + 0 = 666.

It is a super-2 number, since 2×129136023902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142941 + ... + 215079.

It is an arithmetic number, because the mean of its divisors is an integer number (247465449).

Almost surely, 212913602390 is an apocalyptic number.

12913602390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12913602390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19797235920).

12913602390 is an abundant number, since it is smaller than the sum of its proper divisors (26680869450).

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

12913602390 is a wasteful number, since it uses less digits than its factorization.

12913602390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72188 (or 72179 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 12913602390 in words is "twelve billion, nine hundred thirteen million, six hundred two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1530 1755 1989 2106 2210 2295 2754 3315 3510 3978 4590 5265 5967 6630 6885 9945 10530 11934 13770 17901 19890 29835 35802 59670 72139 89505 144278 179010 216417 360695 432834 649251 721390 937807 1082085 1226363 1298502 1875614 1947753 2164170 2452726 2813421 3246255 3679089 3895506 4689035 5626842 5843259 6131815 6492510 7358178 8440263 9378070 9738765 11037267 11686518 12263630 14067105 15942719 16880526 18395445 19477530 22074534 25320789 28134210 29216295 31885438 33111801 36790890 42201315 47828157 50641578 55186335 58432590 66223602 75962367 79713595 84402630 95656314 99335403 110372670 126603945 143484471 151924734 159427190 165559005 198670806 239140785 253207890 286968942 331118010 379811835 430453413 478281570 496677015 717422355 759623670 860906826 993354030 1291360239 1434844710 2152267065 2582720478 4304534130 6456801195 12913602390