Search a number
-
+
6868088136 = 23327213149749
BaseRepresentation
bin1100110010101111…
…01011010101001000
3122201122112000201200
412121113223111020
5103031212310021
63053302544200
7332124533400
oct63127532510
918648460650
106868088136
112a049472a8
1213b8138060
13855b9b1a0
1449221d800
152a2e5e126
hex1995eb548

6868088136 has 144 divisors (see below), whose sum is σ = 23302597500. Its totient is φ = 1811351808.

The previous prime is 6868088119. The next prime is 6868088153. The reversal of 6868088136 is 6318808686.

It is an interprime number because it is at equal distance from previous prime (6868088119) and next prime (6868088153).

It can be written as a sum of positive squares in 2 ways, for example, as 4949122500 + 1918965636 = 70350^2 + 43806^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29011 + ... + 120738.

Almost surely, 26868088136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6868088136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11651298750).

6868088136 is an abundant number, since it is smaller than the sum of its proper divisors (16434509364).

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

6868088136 is a wasteful number, since it uses less digits than its factorization.

6868088136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149788 (or 149774 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6868088136 is about 82873.9291695525. The cubic root of 6868088136 is about 1900.8387927094.

It can be divided in two parts, 68680 and 88136, that added together give a square (156816 = 3962).

The spelling of 6868088136 in words is "six billion, eight hundred sixty-eight million, eighty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 149749 299498 449247 598996 898494 1048243 1197992 1347741 1796988 1946737 2096486 2695482 3144729 3593976 3893474 4192972 5390964 5840211 6289458 7337701 7786948 8385944 9434187 10781928 11680422 12578916 13627159 14675402 15573896 17520633 18868374 22013103 23360844 25157832 27254318 29350804 35041266 37736748 40881477 44026206 46721688 54508636 58701608 66039309 70082532 75473496 81762954 88052412 95390113 109017272 122644431 132078618 140165064 163525908 176104824 190780226 245288862 264157236 286170339 327051816 381560452 490577724 528314472 572340678 763120904 858511017 981155448 1144681356 1717022034 2289362712 3434044068 6868088136