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105676856704023 = 3119923332270807
BaseRepresentation
bin11000000001110011001111…
…100000010011110000010111
3111212011121102211201210201120
4120001303033200103300113
5102322402200304012043
61012431135555255023
731154621011023003
oct3001631740236027
9455147384653646
10105676856704023
113074333768a540
12ba28a715aa473
1346c73919c5667
141c14b03d4d703
15c33d6e3d0983
hex601ccf813c17

105676856704023 has 16 divisors (see below), whose sum is σ = 153713345331456. Its totient is φ = 64045932419840.

The previous prime is 105676856703917. The next prime is 105676856704087. The reversal of 105676856704023 is 320407658676501.

It is a cyclic number.

It is not a de Polignac number, because 105676856704023 - 221 = 105676854606871 is a prime.

It is a super-2 number, since 2×1056768567040232 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105676856702023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12860715 + ... + 19410092.

It is an arithmetic number, because the mean of its divisors is an integer number (9607084083216).

Almost surely, 2105676856704023 is an apocalyptic number.

105676856704023 is a deficient number, since it is larger than the sum of its proper divisors (48036488627433).

105676856704023 is a wasteful number, since it uses less digits than its factorization.

105676856704023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32370054.

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 105676856704023 in words is "one hundred five trillion, six hundred seventy-six billion, eight hundred fifty-six million, seven hundred four thousand, twenty-three".

Divisors: 1 3 11 33 99233 297699 1091563 3274689 32270807 96812421 354978877 1064936631 3202328991031 9606986973093 35225618901341 105676856704023