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85018837360356 = 22321312117312
BaseRepresentation
bin10011010101001011111101…
…100110011001111011100100
3102011000201110221210012112100
4103111023331212121323210
542120422034331012411
6500453040435052100
723623260021603444
oct2325137546317344
9364021427705470
1085018837360356
11250a9317287309
129651278741030
13385931b78ab53
1416dcd1005a124
159c6805cba456
hex4d52fd999ee4

85018837360356 has 81 divisors (see below), whose sum is σ = 216580237714659. Its totient is φ = 28120882186800.

The previous prime is 85018837360351. The next prime is 85018837360397. The reversal of 85018837360356 is 65306373881058.

It is a happy number.

The square root of 85018837360356 is 9220566.

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

85018837360356 is a `hidden beast` number, since 8 + 5 + 0 + 18 + 8 + 3 + 7 + 3 + 603 + 5 + 6 = 666.

It is a super-2 number, since 2×850188373603562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85018837360293 and 85018837360302.

It is not an unprimeable number, because it can be changed into a prime (85018837360351) 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, 7247359011 + ... + 7247370741.

Almost surely, 285018837360356 is an apocalyptic number.

85018837360356 is the 9220566-th square number.

It is an amenable number.

85018837360356 is an abundant number, since it is smaller than the sum of its proper divisors (131561400354303).

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

85018837360356 is an equidigital number, since it uses as much as digits as its factorization.

85018837360356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23734 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 85018837360356 in words is "eighty-five trillion, eighteen billion, eight hundred thirty-seven million, three hundred sixty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 11731 17161 23462 34322 35193 46924 51483 68644 70386 102966 105579 140772 154449 205932 211158 308898 422316 617796 1536761 3073522 4610283 6147044 9220566 13830849 18441132 27661698 55323396 137616361 201315691 275232722 402631382 412849083 550465444 603947073 805262764 825698166 1207894146 1238547249 1651396332 1811841219 2415788292 2477094498 3623682438 4954188996 7247364876 18027743291 36055486582 54083229873 72110973164 108166459746 162249689619 216332919492 324499379238 648998758476 2361634371121 4723268742242 7084903113363 9446537484484 14169806226726 21254709340089 28339612453452 42509418680178 85018837360356