Search a number
-
+
105775460064621 = 3413927133462863
BaseRepresentation
bin11000000011001111000100…
…101110010001110101101101
3111212112000221200100111220000
4120003033010232101311231
5102331011120234031441
61012544324151414513
731165011335533344
oct3003170456216555
9455460850314800
10105775460064621
11307811367117a6
12ba43bab684439
134703777062149
141c197b96d4b5b
15c366e0bdb2b6
hex6033c4b91d6d

105775460064621 has 40 divisors (see below), whose sum is σ = 159205726458240. Its totient is φ = 69983831556288.

The previous prime is 105775460064613. The next prime is 105775460064643. The reversal of 105775460064621 is 126460064577501.

105775460064621 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 7 + 5 + 4 + 6 + 0 + 0 + 6 + 4 + 621 = 666.

It is not a de Polignac number, because 105775460064621 - 23 = 105775460064613 is a prime.

It is a super-2 number, since 2×1057754600646212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105775460064661) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28814236 + ... + 32277098.

It is an arithmetic number, because the mean of its divisors is an integer number (3980143161456).

Almost surely, 2105775460064621 is an apocalyptic number.

It is an amenable number.

105775460064621 is a deficient number, since it is larger than the sum of its proper divisors (53430266393619).

105775460064621 is a wasteful number, since it uses less digits than its factorization.

105775460064621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465727 (or 3465718 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 105775460064621 in words is "one hundred five trillion, seven hundred seventy-five billion, four hundred sixty million, sixty-four thousand, six hundred twenty-one".

Divisors: 1 3 9 27 81 139 417 1251 2713 3753 8139 11259 24417 73251 219753 377107 1131321 3393963 3462863 10181889 10388589 30545667 31165767 93497301 280491903 481337957 1444013871 4332041613 9394747319 12996124839 28184241957 38988374517 84552725871 253658177613 760974532839 1305869877341 3917609632023 11752828896069 35258486688207 105775460064621