Search a number
-
+
108368031249 = 347924632
BaseRepresentation
bin110010011101100111…
…1001110111000010001
3101100201100120101010000
41210323033032320101
53233414203444444
6121441131000213
710554314032032
oct1447317167021
9340640511100
10108368031249
1141a5aa23905
1219004299069
13a2b038001a
14536056aa89
152c43bd1469
hex193b3cee11

108368031249 has 45 divisors (see below), whose sum is σ = 164313086553. Its totient is φ = 71176793688.

The previous prime is 108368031223. The next prime is 108368031263. The reversal of 108368031249 is 942130863801.

The square root of 108368031249 is 329193.

It is a perfect power (a square), and thus also a powerful number.

108368031249 is a `hidden beast` number, since 10 + 8 + 368 + 0 + 31 + 249 = 666.

It is not a de Polignac number, because 108368031249 - 25 = 108368031217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108368032249) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 234055992 + ... + 234056454.

Almost surely, 2108368031249 is an apocalyptic number.

108368031249 is the 329193-rd square number.

108368031249 is the 164597-th centered octagonal number.

It is an amenable number.

108368031249 is a deficient number, since it is larger than the sum of its proper divisors (55945055304).

108368031249 is an frugal number, since it uses more digits than its factorization.

108368031249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 108368031249 in words is "one hundred eight billion, three hundred sixty-eight million, thirty-one thousand, two hundred forty-nine".

Divisors: 1 3 9 27 79 81 237 463 711 1389 2133 4167 6241 6399 12501 18723 36577 37503 56169 109731 168507 214369 329193 505521 643107 987579 1929321 2889583 2962737 5787963 8668749 16935151 17363889 26006247 50805453 78018741 152416359 234056223 457249077 1337876929 1371747231 4013630787 12040892361 36122677083 108368031249