Search a number
-
+
536295094538116 = 22172541212592
BaseRepresentation
bin111100111110000011110111…
…0100110101100111110000100
32121022212022101020020200220111
41321330013232212230332010
51030243124323200204431
65140334322032042404
7220651020250266544
oct17174075646547604
92538768336220814
10536295094538116
11145975521756441
12501956ba093404
131a0325448b3454
149660b6d045324
1542003ed33d7b1
hex1e7c1ee9acf84

536295094538116 has 81 divisors (see below), whose sum is σ = 999610932475407. Its totient is φ = 251707580939520.

The previous prime is 536295094538113. The next prime is 536295094538197. The reversal of 536295094538116 is 611835490592635.

The square root of 536295094538116 is 23158046.

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 19528356428100 + 516766738110016 = 4419090^2 + 22732504^2 .

It is a super-2 number, since 2×5362950945381162 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536295094538113) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 425969097495 + ... + 425969098753.

Almost surely, 2536295094538116 is an apocalyptic number.

536295094538116 is the 23158046-th square number.

It is an amenable number.

536295094538116 is a deficient number, since it is larger than the sum of its proper divisors (463315837937291).

536295094538116 is an frugal number, since it uses more digits than its factorization.

536295094538116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 67.

The spelling of 536295094538116 in words is "five hundred thirty-six trillion, two hundred ninety-five billion, ninety-four million, five hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 17 34 68 289 541 578 1082 1156 1259 2164 2518 5036 9197 18394 21403 36788 42806 85612 156349 292681 312698 363851 585362 625396 681119 727702 1170724 1362238 1455404 1585081 2724476 3170162 4975577 6340324 9951154 11579023 19902308 23158046 26946377 46316092 53892754 84584809 107785508 169169618 196843391 338339236 368485379 393686782 458088409 736970758 787373564 857528821 916176818 1473941516 1715057642 1832353636 3430115284 6264251443 12528502886 14577989957 25057005772 29155979914 58311959828 106492274531 212984549062 247825829269 425969098124 463923092161 495651658538 927846184322 991303317076 1855692368644 7886692566737 15773385133474 31546770266948 134073773634529 268147547269058 536295094538116