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52641336969 = 34132372532
BaseRepresentation
bin110001000001101010…
…110000111010001001
312000212122221222210000
4301001222300322021
51330302140240334
640103314313213
73542333660424
oct610152607211
9160778858700
1052641336969
1120363731671
12a251588809
134c6c056c00
1427954529bb
1515816dd299
hexc41ab0e89

52641336969 has 135 divisors (see below), whose sum is σ = 89197340463. Its totient is φ = 30924436608.

The previous prime is 52641336959. The next prime is 52641336973. The reversal of 52641336969 is 96963314625.

The square root of 52641336969 is 229437.

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

52641336969 is a `hidden beast` number, since 5 + 264 + 13 + 369 + 6 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 11751644025 + 40889692944 = 108405^2 + 202212^2 .

It is not a de Polignac number, because 52641336969 - 27 = 52641336841 is a prime.

It is a super-2 number, since 2×526413369692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52641336959) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 993232747 + ... + 993232799.

Almost surely, 252641336969 is an apocalyptic number.

52641336969 is the 229437-th square number.

52641336969 is the 114719-th centered octagonal number.

It is an amenable number.

52641336969 is a deficient number, since it is larger than the sum of its proper divisors (36556003494).

52641336969 is an equidigital number, since it uses as much as digits as its factorization.

52641336969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 52641336969 in words is "fifty-two billion, six hundred forty-one million, three hundred thirty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 27 37 39 53 81 111 117 159 169 333 351 477 481 507 689 999 1053 1369 1431 1443 1521 1961 2067 2809 2997 4107 4293 4329 4563 5883 6201 6253 8427 8957 12321 12987 13689 17649 17797 18603 18759 25281 25493 26871 36517 36963 38961 52947 53391 55809 56277 72557 75843 76479 80613 103933 109551 110889 158841 160173 168831 217671 227529 229437 231361 241839 311799 328653 331409 474721 480519 506493 653013 688311 694083 725517 935397 943241 985959 994227 1351129 1424163 1441557 1959039 2064933 2082249 2806191 2829723 2957877 2982681 3845521 4053387 4272489 5877117 6246747 8418573 8489169 8948043 11536563 12160161 12262133 12817467 17564677 18740241 25467507 26844129 34609689 36480483 36786399 38452401 49991773 52694031 76402521 103829067 109441449 110359197 149975319 158082093 311487201 331077591 449925957 474246279 649893049 993232773 1349777871 1422738837 1949679147 4049333613 5849037441 17547112323 52641336969