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12852524426214 = 23112283353177211
BaseRepresentation
bin1011101100000111011000…
…1001110010001111100110
31200111200121112012011011010
42323001312021302033212
53141033432223114324
643200211311123050
72464364352041334
oct273016611621746
950450545164133
1012852524426214
1141057a7a79400
121536aa4513486
13722cac40b3a5
143260cba42b54
151744cc50a829
hexbb0762723e6

12852524426214 has 96 divisors (see below), whose sum is σ = 28434632268672. Its totient is φ = 3869926156800.

The previous prime is 12852524426173. The next prime is 12852524426219. The reversal of 12852524426214 is 41262442525821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12852524426219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72438069 + ... + 72615279.

It is an arithmetic number, because the mean of its divisors is an integer number (296194086132).

Almost surely, 212852524426214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12852524426214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217316134336).

12852524426214 is an abundant number, since it is smaller than the sum of its proper divisors (15582107842458).

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

12852524426214 is a wasteful number, since it uses less digits than its factorization.

12852524426214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177874 (or 177863 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 48.

The spelling of 12852524426214 in words is "twelve trillion, eight hundred fifty-two billion, five hundred twenty-four million, four hundred twenty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 283 353 363 566 706 726 849 1059 1698 2118 3113 3883 6226 7766 9339 11649 18678 23298 34243 42713 68486 85426 99899 102729 128139 177211 199798 205458 256278 299697 354422 531633 599394 1063266 1098889 1949321 2197778 3296667 3898642 5847963 6593334 11695926 12087779 21442531 24175558 36263337 42885062 50150713 62555483 64327593 72526674 100301426 125110966 128655186 150452139 187666449 300904278 375332898 551657843 688110313 1103315686 1376220626 1654973529 2064330939 3309947058 4128661878 6068236273 7569213443 12136472546 15138426886 17703201689 18204708819 22707640329 35406403378 36409417638 45415280658 53109605067 106219210134 194735218579 389470437158 584205655737 1168411311474 2142087404369 4284174808738 6426262213107 12852524426214