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105886452428478 = 2341738448239807
BaseRepresentation
bin11000000100110110011100…
…011000100010111010111110
3111212220122102221001210120000
4120010312130120202322332
5102334320423310202403
61013111321551135130
731206021000212031
oct3004663430427276
9455818387053500
10105886452428478
1130814212a3a527
12ba616068144a6
1347110850245a7
141c20d085d9018
15c39539ea77a3
hex604d9c622ebe

105886452428478 has 40 divisors (see below), whose sum is σ = 251220798905472. Its totient is φ = 33219279192384.

The previous prime is 105886452428363. The next prime is 105886452428509. The reversal of 105886452428478 is 874824254688501.

105886452428478 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 8 + 6 + 4 + 524 + 28 + 4 + 78 = 666.

It is a super-2 number, since 2×1058864524284782 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19224117150 + ... + 19224122657.

Almost surely, 2105886452428478 is an apocalyptic number.

105886452428478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105886452428478 is an abundant number, since it is smaller than the sum of its proper divisors (145334346476994).

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

105886452428478 is a wasteful number, since it uses less digits than its factorization.

105886452428478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38448239838 (or 38448239829 counting only the distinct ones).

The product of its (nonzero) digits is 1101004800, while the sum is 72.

The spelling of 105886452428478 in words is "one hundred five trillion, eight hundred eighty-six billion, four hundred fifty-two million, four hundred twenty-eight thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 38448239807 76896479614 115344719421 230689438842 346034158263 653620076719 692068316526 1038102474789 1307240153438 1960860230157 2076204949578 3114307424367 3921720460314 5882580690471 6228614848734 11765161380942 17647742071413 35295484142826 52943226214239 105886452428478