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136612114338 = 23731613474957
BaseRepresentation
bin111111100111010110…
…1110110111110100010
3111001121201210110022110
41333032231312332202
54214240200124323
6142431515420150
712604242545430
oct1771655667642
9431551713273
10136612114338
1152a33a82537
1222587154656
13cb61a1b21b
14687d6d5d50
1538485ad793
hex1fceb76fa2

136612114338 has 128 divisors (see below), whose sum is σ = 328623538176. Its totient is φ = 37039161600.

The previous prime is 136612114333. The next prime is 136612114391. The reversal of 136612114338 is 833411216631.

It is a junction number, because it is equal to n+sod(n) for n = 136612114296 and 136612114305.

It is not an unprimeable number, because it can be changed into a prime (136612114333) 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, 27556956 + ... + 27561912.

It is an arithmetic number, because the mean of its divisors is an integer number (2567371392).

Almost surely, 2136612114338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136612114338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164311769088).

136612114338 is an abundant number, since it is smaller than the sum of its proper divisors (192011423838).

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

136612114338 is a wasteful number, since it uses less digits than its factorization.

136612114338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408.

The product of its digits is 62208, while the sum is 39.

The spelling of 136612114338 in words is "one hundred thirty-six billion, six hundred twelve million, one hundred fourteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 61 62 93 122 183 186 217 347 366 427 434 651 694 854 1041 1281 1302 1891 2082 2429 2562 3782 4858 4957 5673 7287 9914 10757 11346 13237 14574 14871 21167 21514 26474 29742 32271 34699 39711 42334 63501 64542 69398 75299 79422 104097 127002 148169 150598 153667 208194 225897 296338 302377 307334 444507 451794 461001 604754 656177 889014 907131 922002 1075669 1312354 1720079 1814262 1968531 2116639 2151338 3227007 3440158 3937062 4233278 4593239 5160237 6349917 6454014 9186478 9373687 10320474 12040553 12699834 13779717 18747374 24081106 27559434 28121061 36121659 53322449 56242122 65615809 72243318 104924819 106644898 131231618 159967347 196847427 209849638 314774457 319934694 373257143 393694854 629548914 734473733 746514286 1119771429 1468947466 2203421199 2239542858 3252669389 4406842398 6505338778 9758008167 19516016334 22768685723 45537371446 68306057169 136612114338