Search a number
-
+
136205580348 = 223343153119157
BaseRepresentation
bin111111011011001111…
…1000011100000111100
3111000120101211101112000
41332312133003200330
54212422112032343
6142323314142300
712561205221225
oct1766637034074
9430511741460
10136205580348
1152845554532
1222492b81990
13cac872c876
14684171024c
153822a58ed3
hex1fb67c383c

136205580348 has 96 divisors (see below), whose sum is σ = 361592689920. Its totient is φ = 44314724160.

The previous prime is 136205580347. The next prime is 136205580353. The reversal of 136205580348 is 843085502631.

136205580348 is a `hidden beast` number, since 1 + 3 + 6 + 20 + 5 + 580 + 3 + 48 = 666.

It is a super-2 number, since 2×1362055803482 (a number of 23 digits) contains 22 as substring.

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 (136205580347) 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, 7100386 + ... + 7119542.

It is an arithmetic number, because the mean of its divisors is an integer number (3766590520).

Almost surely, 2136205580348 is an apocalyptic number.

136205580348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136205580348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180796344960).

136205580348 is an abundant number, since it is smaller than the sum of its proper divisors (225387109572).

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

136205580348 is a wasteful number, since it uses less digits than its factorization.

136205580348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20744 (or 20736 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 136205580348 in words is "one hundred thirty-six billion, two hundred five million, five hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1531 1548 2322 3062 4593 4644 6124 9186 13779 18372 19157 27558 38314 41337 55116 57471 65833 76628 82674 114942 131666 165348 172413 197499 229884 263332 344826 394998 517239 592497 689652 789996 823751 1034478 1184994 1647502 1777491 2068956 2369988 2471253 3295004 3554982 4942506 7109964 7413759 9885012 14827518 22241277 29329367 29655036 44482554 58658734 87988101 88965108 117317468 175976202 263964303 351952404 527928606 791892909 1055857212 1261162781 1583785818 2522325562 3167571636 3783488343 5044651124 7566976686 11350465029 15133953372 22700930058 34051395087 45401860116 68102790174 136205580348