Search a number
-
+
261441435573560 = 235111867013182549
BaseRepresentation
bin111011011100011110010011…
…111001011001110100111000
31021021200120001011100121020002
4323130132103321121310320
5233231424030001323220
62324012312030452132
7106032343331550614
oct7334362371316470
91237616034317202
10261441435573560
1176337765687410
12253a5127964048
13b2b5a8b04c0a8
14487bb93a66344
152035a59808c75
hexedc793e59d38

261441435573560 has 64 divisors (see below), whose sum is σ = 641723526108000. Its totient is φ = 95069073856000.

The previous prime is 261441435573511. The next prime is 261441435573611. The reversal of 261441435573560 is 65375534144162.

It is a junction number, because it is equal to n+sod(n) for n = 261441435573496 and 261441435573505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80557166 + ... + 83739714.

Almost surely, 2261441435573560 is an apocalyptic number.

261441435573560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261441435573560 is an abundant number, since it is smaller than the sum of its proper divisors (380282090534440).

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

261441435573560 is a wasteful number, since it uses less digits than its factorization.

261441435573560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369272 (or 3369268 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 56.

The spelling of 261441435573560 in words is "two hundred sixty-one trillion, four hundred forty-one billion, four hundred thirty-five million, five hundred seventy-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 186701 373402 746804 933505 1493608 1867010 2053711 3182549 3734020 4107422 6365098 7468040 8214844 10268555 12730196 15912745 16429688 20537110 25460392 31825490 35008039 41074220 63650980 70016078 82148440 127301960 140032156 175040195 280064312 350080390 700160780 1400321560 594185080849 1188370161698 2376740323396 2970925404245 4753480646792 5941850808490 6536035889339 11883701616980 13072071778678 23767403233960 26144143557356 32680179446695 52288287114712 65360358893390 130720717786780 261441435573560