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133356879798384 = 243112982110608167
BaseRepresentation
bin11110010100100110010001…
…011100101110000001110000
3122111011210102020120201202110
4132110212101130232001300
5114434404342212022014
61151343145502045320
740042500541202214
oct3624462134560160
9574153366521673
10133356879798384
1139545376048640
1212b59559279840
1359546660c1a08
1424d0716514944
151063db9d14d59
hex79499172e070

133356879798384 has 160 divisors (see below), whose sum is σ = 389256965245440. Its totient is φ = 38970158617600.

The previous prime is 133356879798379. The next prime is 133356879798397. The reversal of 133356879798384 is 483897978653331.

It is a happy number.

It is a super-2 number, since 2×1333568797983842 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133356879798297 and 133356879798306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7267069 + ... + 17875235.

It is an arithmetic number, because the mean of its divisors is an integer number (2432856032784).

Almost surely, 2133356879798384 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 133356879798384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194628482622720).

133356879798384 is an abundant number, since it is smaller than the sum of its proper divisors (255900085447056).

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

133356879798384 is a wasteful number, since it uses less digits than its factorization.

133356879798384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609039 (or 10609033 counting only the distinct ones).

The product of its digits is 19752284160, while the sum is 84.

The spelling of 133356879798384 in words is "one hundred thirty-three trillion, three hundred fifty-six billion, eight hundred seventy-nine million, seven hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 821 957 1276 1392 1642 1914 2463 2552 3284 3828 4926 5104 6568 7656 9031 9852 13136 15312 18062 19704 23809 27093 36124 39408 47618 54186 71427 72248 95236 108372 142854 144496 190472 216744 261899 285708 380944 433488 523798 571416 785697 1047596 1142832 1571394 2095192 3142788 4190384 6285576 10608167 12571152 21216334 31824501 42432668 63649002 84865336 116689837 127298004 169730672 233379674 254596008 307636843 350069511 466759348 509192016 615273686 700139022 922910529 933518696 1230547372 1400278044 1845821058 1867037392 2461094744 2800556088 3384005273 3691642116 4922189488 5601112176 6768010546 7383284232 8709305107 10152015819 13536021092 14766568464 17418610214 20304031638 26127915321 27072042184 34837220428 40608063276 52255830642 54144084368 69674440856 81216126552 95802356177 104511661284 139348881712 162432253104 191604712354 209023322568 252569848103 287407068531 383209424708 418046645136 505139696206 574814137062 757709544309 766418849416 1010279392412 1149628274124 1515419088618 1532837698832 2020558784824 2299256548248 2778268329133 3030838177236 4041117569648 4598513096496 5556536658266 6061676354472 8334804987399 11113073316532 12123352708944 16669609974798 22226146633064 33339219949596 44452293266128 66678439899192 133356879798384