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5223133627164 = 223259137157114329
BaseRepresentation
bin100110000000001101100…
…0001100100001100011100
3200111022211011101211111200
41030000123001210030130
51141033434202032124
615035250252315500
71046234056204245
oct114003301441434
920438734354450
105223133627164
1117341338471a2
12704340a72b90
132bb70205b00b
14140b2ddbbccc
1590ceba9dbc9
hex4c01b06431c

5223133627164 has 144 divisors (see below), whose sum is σ = 13610968207200. Its totient is φ = 1688205662208.

The previous prime is 5223133627157. The next prime is 5223133627171. The reversal of 5223133627164 is 4617263313225.

It is a happy number.

5223133627164 is a `hidden beast` number, since 5 + 2 + 2 + 3 + 1 + 3 + 3 + 627 + 16 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5223133627157) and next prime (5223133627171).

It is a super-2 number, since 2×52231336271642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45627952 + ... + 45742280.

It is an arithmetic number, because the mean of its divisors is an integer number (94520612550).

Almost surely, 25223133627164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5223133627164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805484103600).

5223133627164 is an abundant number, since it is smaller than the sum of its proper divisors (8387834580036).

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

5223133627164 is a wasteful number, since it uses less digits than its factorization.

5223133627164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114692 (or 114687 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 5223133627164 in words is "five trillion, two hundred twenty-three billion, one hundred thirty-three million, six hundred twenty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 137 157 177 236 274 314 354 411 471 531 548 628 708 822 942 1062 1233 1413 1644 1884 2124 2466 2826 4932 5652 8083 9263 16166 18526 21509 24249 27789 32332 37052 43018 48498 55578 64527 72747 83367 86036 96996 111156 114329 129054 145494 166734 193581 228658 258108 290988 333468 342987 387162 457316 685974 774324 1028961 1269031 1371948 2057922 2538062 3807093 4115844 5076124 6745411 7614186 11421279 13490822 15228372 15663073 17949653 20236233 22842558 26981644 31326146 35899306 40472466 45685116 46989219 53848959 60708699 62652292 71798612 80944932 93978438 107697918 121417398 140967657 161546877 187956876 215395836 242834796 281935314 323093754 563870628 646187508 924121307 1059029527 1848242614 2118059054 2459102461 2772363921 3177088581 3696485228 4236118108 4918204922 5544727842 6354177162 7377307383 8317091763 9531265743 9836409844 11089455684 12708354324 14754614766 16634183526 19062531486 22131922149 29509229532 33268367052 38125062972 44263844298 88527688596 145087045199 290174090398 435261135597 580348180796 870522271194 1305783406791 1741044542388 2611566813582 5223133627164