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105678233864 = 2375381350699
BaseRepresentation
bin110001001101011101…
…0011110000100001000
3101002202220020111202122
41202122322132010020
53212412111440424
6120314203150412
710430543111120
oct1423272360410
9332686214678
10105678233864
11408aa676265
1218593515408
139c72029438
145187231c80
152b379b445e
hex189ae9e108

105678233864 has 32 divisors (see below), whose sum is σ = 226496088000. Its totient is φ = 45282125760.

The previous prime is 105678233831. The next prime is 105678233887. The reversal of 105678233864 is 468332876501.

It is a happy number.

It is a super-2 number, since 2×1056782338642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125987 + ... + 476685.

It is an arithmetic number, because the mean of its divisors is an integer number (7078002750).

Almost surely, 2105678233864 is an apocalyptic number.

105678233864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105678233864 is an abundant number, since it is smaller than the sum of its proper divisors (120817854136).

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

105678233864 is a wasteful number, since it uses less digits than its factorization.

105678233864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356093 (or 356089 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 105678233864 in words is "one hundred five billion, six hundred seventy-eight million, two hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 5381 10762 21524 37667 43048 75334 150668 301336 350699 701398 1402796 2454893 2805592 4909786 9819572 19639144 1887111319 3774222638 7548445276 13209779233 15096890552 26419558466 52839116932 105678233864