Search a number
-
+
10665042351165 = 3251639911445207
BaseRepresentation
bin1001101100110010011000…
…0011111001010000111101
31101202120100010202002111200
42123030212003321100331
52344214001320214130
634403241450410113
72150344456144266
oct233144603712075
941676303662450
1010665042351165
113442023408744
121242b59130939
135c492b0ac547
1428c2957cd96d
15137650033760
hex9b3260f943d

10665042351165 has 24 divisors (see below), whose sum is σ = 18486198926208. Its totient is φ = 5687983966560.

The previous prime is 10665042351151. The next prime is 10665042351181. The reversal of 10665042351165 is 56115324056601.

10665042351165 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 50 + 4 + 23 + 511 + 65 = 666.

10665042351165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10665042351165 - 24 = 10665042351149 is a prime.

It is a super-2 number, since 2×106650423511652 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10665042351165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6656992 + ... + 8102198.

It is an arithmetic number, because the mean of its divisors is an integer number (770258288592).

Almost surely, 210665042351165 is an apocalyptic number.

10665042351165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10665042351165 is a deficient number, since it is larger than the sum of its proper divisors (7821156575043).

10665042351165 is a wasteful number, since it uses less digits than its factorization.

10665042351165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609209 (or 1609206 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 10665042351165 in words is "ten trillion, six hundred sixty-five billion, forty-two million, three hundred fifty-one thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 163991 491973 819955 1445207 1475919 2459865 4335621 7226035 7379595 13006863 21678105 65034315 237000941137 711002823411 1185004705685 2133008470233 3555014117055 10665042351165