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134826933602952 = 233222515189160319
BaseRepresentation
bin11110101001111111010111…
…011110111100101010001000
3122200101022212211011112002200
4132221333113132330222020
5120133001030000243302
61154430345505000200
740253632050313443
oct3651772736745210
9580338784145080
10134826933602952
1139a618660a7088
1213156443323060
135a30182331246
14254193094065a
15108c25816281c
hex7a9fd77bca88

134826933602952 has 96 divisors (see below), whose sum is σ = 365391179712000. Its totient is φ = 44913408336000.

The previous prime is 134826933602887. The next prime is 134826933603053. The reversal of 134826933602952 is 259206339628431.

It is a happy number.

134826933602952 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 6 + 9 + 336 + 0 + 295 + 2 = 666.

It is a super-2 number, since 2×1348269336029522 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134826933602952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840911449 + ... + 841071767.

It is an arithmetic number, because the mean of its divisors is an integer number (3806158122000).

Almost surely, 2134826933602952 is an apocalyptic number.

134826933602952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134826933602952 is an abundant number, since it is smaller than the sum of its proper divisors (230564246109048).

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

134826933602952 is a wasteful number, since it uses less digits than its factorization.

134826933602952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167771 (or 167764 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 134826933602952 in words is "one hundred thirty-four trillion, eight hundred twenty-six billion, nine hundred thirty-three million, six hundred two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2251 4502 5189 6753 9004 10378 13506 15567 18008 20259 20756 27012 31134 40518 41512 46701 54024 62268 81036 93402 124536 160319 162072 186804 320638 373608 480957 641276 961914 1282552 1442871 1923828 2885742 3847656 5771484 11542968 11680439 23360878 35041317 46721756 70082634 93443512 105123951 140165268 210247902 280330536 360878069 420495804 721756138 831895291 840991608 1082634207 1443512276 1663790582 2165268414 2495685873 2887024552 3247902621 3327581164 4330536828 4991371746 6495805242 6655162328 7487057619 8661073656 9982743492 12991610484 14974115238 19965486984 25983220968 29948230476 59896460952 1872596300041 3745192600082 5617788900123 7490385200164 11235577800246 14980770400328 16853366700369 22471155600492 33706733400738 44942311200984 67413466801476 134826933602952