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6135202040356 = 2217226322772
BaseRepresentation
bin101100101000111011010…
…0010011100101000100100
3210201112000210000211100101
41121101312202130220210
51301004343210242411
621014250051553444
71202153011616014
oct131216642345044
923645023024311
106135202040356
111a55a19675494
128310628bb884
13356715bb30cc
14172d3410dc44
15a98cd8618c1
hex5947689ca24

6135202040356 has 81 divisors (see below), whose sum is σ = 11490331289619. Its totient is φ = 2865792822528.

The previous prime is 6135202040351. The next prime is 6135202040371. The reversal of 6135202040356 is 6530402025316.

The square root of 6135202040356 is 2476934.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23429200356 + 6111772840000 = 153066^2 + 2472200^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6135202040351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22148743690 + ... + 22148743966.

Almost surely, 26135202040356 is an apocalyptic number.

6135202040356 is the 2476934-th square number.

It is an amenable number.

6135202040356 is a deficient number, since it is larger than the sum of its proper divisors (5355129249263).

6135202040356 is an equidigital number, since it uses as much as digits as its factorization.

6135202040356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 6135202040356 in words is "six trillion, one hundred thirty-five billion, two hundred two million, forty thousand, three hundred fifty-six".

Divisors: 1 2 4 17 34 68 263 277 289 526 554 578 1052 1108 1156 4471 4709 8942 9418 17884 18836 69169 72851 76007 76729 80053 138338 145702 152014 153458 160106 276676 291404 304028 306916 320212 1175873 1238467 1304393 2351746 2476934 2608786 4703492 4953868 5217572 19159813 19989841 20179727 21053939 22174681 38319626 39979682 40359454 42107878 44349362 76639252 79959364 80718908 84215756 88698724 325716821 343055359 651433642 686110718 1302867284 1372221436 5307268201 5537185957 5831941103 10614536402 11074371914 11663882206 21229072804 22148743828 23327764412 90223559417 180447118834 360894237668 1533800510089 3067601020178 6135202040356