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5636346061801 = 7413237272
BaseRepresentation
bin101001000000101000001…
…1001111010001111101001
3201221211101122111102111111
41102001100121322033221
51214321214042434201
615553145053030321
71121132624020000
oct122012031721751
921854348442444
105636346061801
1118833a745a264
12770440a853a1
1331b674a8a100
14156b2cc07c37
159b9333acb51
hex5205067a3e9

5636346061801 has 45 divisors (see below), whose sum is σ = 7121959935831. Its totient is φ = 4458330008496.

The previous prime is 5636346061789. The next prime is 5636346061877. The reversal of 5636346061801 is 1081606436365.

The square root of 5636346061801 is 2374099.

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

It can be written as a sum of positive squares in only one way, i.e., 833779003225 + 4802567058576 = 913115^2 + 2191476^2 .

It is not a de Polignac number, because 5636346061801 - 213 = 5636346053609 is a prime.

It is a super-2 number, since 2×56363460618012 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (5636346061201) 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 44 ways as a sum of consecutive naturals, for example, 1512299200 + ... + 1512302926.

Almost surely, 25636346061801 is an apocalyptic number.

5636346061801 is the 2374099-th square number.

5636346061801 is the 1187050-th centered octagonal number.

It is an amenable number.

5636346061801 is a deficient number, since it is larger than the sum of its proper divisors (1485613874030).

5636346061801 is an frugal number, since it uses more digits than its factorization.

5636346061801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 5636346061801 by its sum of digits (49), we get a square (276180957028249 = 166186932).

5636346061801 divided by its sum of digits (49) gives a square (115027470649 = 3391572).

The spelling of 5636346061801 in words is "five trillion, six hundred thirty-six billion, three hundred forty-six million, sixty-one thousand, eight hundred one".

Divisors: 1 7 13 49 91 169 343 637 1183 2401 3727 4459 8281 26089 31213 48451 57967 182623 339157 405769 629863 1278361 2374099 4409041 8948527 13890529 16618693 30863287 97233703 116330851 180576877 216043009 680635921 1264038139 1512301063 2347499401 4764451447 8848266973 16432495807 33351160129 61937868811 115027470649 433565081677 805192294543 5636346061801