Search a number
-
+
2561363343 = 3371119611063
BaseRepresentation
bin1001100010101011…
…0100110110001111
320121111122201222000
42120222310312033
520221202111333
61102054523343
7120321141420
oct23052646617
96544581860
102561363343
1110a4906210
125b5966553
1331a865b16
141a4265647
15eecec713
hex98ab4d8f

2561363343 has 128 divisors (see below), whose sum is σ = 5066342400. Its totient is φ = 1238716800.

The previous prime is 2561363339. The next prime is 2561363377. The reversal of 2561363343 is 3433631652.

2561363343 is a `hidden beast` number, since 2 + 5 + 6 + 13 + 633 + 4 + 3 = 666.

It is not a de Polignac number, because 2561363343 - 22 = 2561363339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2561363298 and 2561363307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561363303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2409030 + ... + 2410092.

It is an arithmetic number, because the mean of its divisors is an integer number (39580800).

Almost surely, 22561363343 is an apocalyptic number.

2561363343 is a deficient number, since it is larger than the sum of its proper divisors (2504979057).

2561363343 is a wasteful number, since it uses less digits than its factorization.

2561363343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1164 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 2561363343 is about 50609.9134854032. The cubic root of 2561363343 is about 1368.2235563011.

Adding to 2561363343 its reverse (3433631652), we get a palindrome (5994994995).

The spelling of 2561363343 in words is "two billion, five hundred sixty-one million, three hundred sixty-three thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 19 21 27 33 57 61 63 77 99 133 171 183 189 209 231 297 399 427 513 549 627 671 693 1063 1159 1197 1281 1463 1647 1881 2013 2079 3189 3477 3591 3843 4389 4697 5643 6039 7441 8113 9567 10431 11529 11693 12749 13167 14091 18117 20197 22323 24339 28701 31293 35079 38247 39501 42273 60591 64843 66969 73017 81851 89243 105237 114741 126819 141379 181773 194529 200907 219051 222167 245553 267729 315711 344223 424137 453901 545319 583587 666501 713273 736659 803187 1232017 1272411 1361703 1555169 1750761 1999503 2139819 2209977 2409561 3696051 3817233 4085109 4665507 4992911 5998509 6419457 8624119 11088153 12255327 13552187 13996521 14978733 19258371 25872357 33264459 40656561 41989563 44936199 77617071 94865309 121969683 134808597 232851213 284595927 365909049 853787781 2561363343