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526443240028212 = 2232135273213328033
BaseRepresentation
bin111011110110011000001111…
…0010100001111100000110100
32120000222111000112220002121200
41313230300132110033200310
51023000221223421400322
65103352404043012500
7215613161151536133
oct16754603624174064
92500874015802550
10526443240028212
11142817362715861
124b064287b0a130
13197994cca40250
1493dddbb28191a
1540cdee42a58ac
hex1decc1e50f834

526443240028212 has 72 divisors (see below), whose sum is σ = 1433367273376584. Its totient is φ = 161951815397376.

The previous prime is 526443240028187. The next prime is 526443240028249. The reversal of 526443240028212 is 212820042344625.

It is a happy number.

526443240028212 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 4 + 3 + 2 + 400 + 28 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108479807252496 + 417963432775716 = 10415364^2 + 20444154^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104196253 + ... + 109131780.

It is an arithmetic number, because the mean of its divisors is an integer number (19907878796897).

Almost surely, 2526443240028212 is an apocalyptic number.

526443240028212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

526443240028212 is an abundant number, since it is smaller than the sum of its proper divisors (906924033348372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

526443240028212 is a wasteful number, since it uses less digits than its factorization.

526443240028212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213333329 (or 213333324 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 526443240028212 in words is "five hundred twenty-six trillion, four hundred forty-three billion, two hundred forty million, twenty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5273 10546 15819 21092 31638 47457 63276 68549 94914 137098 189828 205647 274196 411294 616941 822588 1233882 2467764 213328033 426656066 639984099 853312132 1279968198 1919952297 2559936396 2773264429 3839904594 5546528858 7679809188 8319793287 11093057716 16639586574 24959379861 33279173148 49918759722 99837519444 1124878718009 2249757436018 3374636154027 4499514872036 6749272308054 10123908462081 13498544616108 14623423334117 20247816924162 29246846668234 40495633848324 43870270002351 58493693336468 87740540004702 131610810007053 175481080009404 263221620014106 526443240028212