Search a number
-
+
136531519542 = 233114117473209
BaseRepresentation
bin111111100100111101…
…0011010100000110110
3111001102010010211001000
41333021322122200312
54214104032111132
6142415520144130
712602243524245
oct1771172324066
9431363124030
10136531519542
11529a2535470
1222564168046
13cb4b1101b2
146872b1695c
15384148d87c
hex1fc9e9a836

136531519542 has 128 divisors (see below), whose sum is σ = 339358118400. Its totient is φ = 40328409600.

The previous prime is 136531519519. The next prime is 136531519547. The reversal of 136531519542 is 245915135631.

136531519542 is a `hidden beast` number, since 1 + 3 + 6 + 53 + 1 + 51 + 9 + 542 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136531519547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42544834 + ... + 42548042.

It is an arithmetic number, because the mean of its divisors is an integer number (2651235300).

Almost surely, 2136531519542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136531519542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169679059200).

136531519542 is an abundant number, since it is smaller than the sum of its proper divisors (202826598858).

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

136531519542 is a wasteful number, since it uses less digits than its factorization.

136531519542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5013 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 136531519542 in words is "one hundred thirty-six billion, five hundred thirty-one million, five hundred nineteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 1747 2214 2706 3209 3494 4059 5241 6418 8118 9627 10482 12177 15723 19217 19254 24354 28881 31446 35299 38434 47169 57651 57762 70598 71627 86643 94338 105897 115302 131569 143254 172953 173286 211794 214881 263138 317691 345906 394707 429762 518859 635382 644643 787897 789414 953073 1037718 1184121 1289286 1447259 1575794 1906146 1933929 2363691 2368242 2894518 3552363 3867858 4341777 4727382 5606123 7091073 7104726 8683554 11212246 13025331 14182146 16818369 21273219 26050662 33636738 39075993 42546438 50455107 61667353 78151986 100910214 123334706 151365321 185002059 229851043 302730642 370004118 459702086 555006177 689553129 1110012354 1379106258 1665018531 2068659387 2528361473 3330037062 4137318774 5056722946 6205978161 7585084419 12411956322 15170168838 22755253257 45510506514 68265759771 136531519542