Search a number
-
+
261775836981036 = 22357359107169401
BaseRepresentation
bin111011100001010101101111…
…110001100010011100101100
31021022212112012011121012100000
4323201111233301202130230
5233302413403231343121
62324430054225304300
7106065452162612010
oct7341255761423454
91238775164535300
10261775836981036
1176456566548284
1225439ab2195090
13b30b4810795c1
1448900379b6540
15203e5cc207526
hexee156fc6272c

261775836981036 has 144 divisors (see below), whose sum is σ = 786434792532480. Its totient is φ = 74584758268800.

The previous prime is 261775836981017. The next prime is 261775836981049. The reversal of 261775836981036 is 630189638577162.

It is a happy number.

261775836981036 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 7 + 583 + 6 + 9 + 8 + 1 + 0 + 36 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51142065 + ... + 56027336.

It is an arithmetic number, because the mean of its divisors is an integer number (5461352725920).

Almost surely, 2261775836981036 is an apocalyptic number.

It is an amenable number.

261775836981036 is an abundant number, since it is smaller than the sum of its proper divisors (524658955551444).

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

261775836981036 is a wasteful number, since it uses less digits than its factorization.

261775836981036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107169786 (or 107169772 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 261775836981036 in words is "two hundred sixty-one trillion, seven hundred seventy-five billion, eight hundred thirty-six million, nine hundred eighty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 359 378 486 567 718 756 972 1077 1134 1436 1701 2154 2268 2513 3231 3402 4308 5026 6462 6804 7539 9693 10052 12924 15078 19386 22617 29079 30156 38772 45234 58158 67851 87237 90468 116316 135702 174474 203553 271404 348948 407106 610659 814212 1221318 2442636 107169401 214338802 321508203 428677604 643016406 750185807 964524609 1286032812 1500371614 1929049218 2250557421 2893573827 3000743228 3858098436 4501114842 5787147654 6751672263 8680721481 9002229684 11574295308 13503344526 17361442962 20255016789 26042164443 27006689052 34722885924 38473814959 40510033578 52084328886 60765050367 76947629918 81020067156 104168657772 115421444877 121530100734 153895259836 182295151101 230842889754 243060201468 269316704713 346264334631 364590302202 461685779508 538633409426 692528669262 729180604404 807950114139 1038793003893 1077266818852 1385057338524 1615900228278 2077586007786 2423850342417 3116379011679 3231800456556 4155172015572 4847700684834 6232758023358 7271551027251 9349137035037 9695401369668 12465516046716 14543102054502 18698274070074 21814653081753 29086204109004 37396548140148 43629306163506 65443959245259 87258612327012 130887918490518 261775836981036