Search a number
-
+
261665431006044 = 2231323101722058763
BaseRepresentation
bin111011011111101110111011…
…000100001010101101011100
31021022110222012210021112222010
4323133232323010022231130
5233244111300314143134
62324303234534151220
7106054463211403002
oct7337567304125534
91238428183245863
10261665431006044
117641376022114a
122542061b4b2510
13b300c37728610
144888962914a72
15203b7b966ace9
hexedfbbb10ab5c

261665431006044 has 96 divisors (see below), whose sum is σ = 692899142874624. Its totient is φ = 76249405267200.

The previous prime is 261665431006037. The next prime is 261665431006079. The reversal of 261665431006044 is 440600134566162.

It is a junction number, because it is equal to n+sod(n) for n = 261665431005984 and 261665431006002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360666994 + ... + 361391769.

It is an arithmetic number, because the mean of its divisors is an integer number (7217699404944).

Almost surely, 2261665431006044 is an apocalyptic number.

It is an amenable number.

261665431006044 is an abundant number, since it is smaller than the sum of its proper divisors (431233711868580).

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

261665431006044 is a wasteful number, since it uses less digits than its factorization.

261665431006044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722058907 (or 722058905 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 261665431006044 in words is "two hundred sixty-one trillion, six hundred sixty-five billion, four hundred thirty-one million, six thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 101 138 156 202 276 299 303 404 598 606 897 1196 1212 1313 1794 2323 2626 3588 3939 4646 5252 6969 7878 9292 13938 15756 27876 30199 60398 90597 120796 181194 362388 722058763 1444117526 2166176289 2888235052 4332352578 8664705156 9386763919 16607351549 18773527838 28160291757 33214703098 37547055676 49822054647 56320583514 66429406196 72927935063 99644109294 112641167028 145855870126 199288218588 215895570137 218783805189 291711740252 431791140274 437567610378 647686710411 863582280548 875135220756 948063155819 1295373420822 1677342506449 1896126311638 2590746841644 2844189467457 3354685012898 3792252623276 5032027519347 5688378934914 6709370025796 10064055038694 11376757869828 20128110077388 21805452583837 43610905167674 65416357751511 87221810335348 130832715503022 261665431006044