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52819347168 = 2532753494341
BaseRepresentation
bin110001001100010001…
…110100011011100000
312001100001220211212100
4301030101310123200
51331133223102133
640133113530400
73546625020540
oct611421643340
9161301824770
1052819347168
1120445165335
12a2a1113a00
134c99bb21a3
1427b0d4d320
151592151e13
hexc4c4746e0

52819347168 has 144 divisors (see below), whose sum is σ = 174902154336. Its totient is φ = 14806471680.

The previous prime is 52819347143. The next prime is 52819347181. The reversal of 52819347168 is 86174391825.

52819347168 is a `hidden beast` number, since 5 + 2 + 81 + 93 + 471 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140323 + ... + 354018.

It is an arithmetic number, because the mean of its divisors is an integer number (1214598294).

Almost surely, 252819347168 is an apocalyptic number.

It is an amenable number.

52819347168 is an abundant number, since it is smaller than the sum of its proper divisors (122082807168).

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

52819347168 is a wasteful number, since it uses less digits than its factorization.

52819347168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494417 (or 494406 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 52819347168 in words is "fifty-two billion, eight hundred nineteen million, three hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 53424 106848 494341 988682 1483023 1977364 2966046 3460387 3954728 4449069 5932092 6920774 7909456 8898138 10381161 11864184 13841548 15818912 17796276 20762322 23728368 26200073 27683096 31143483 35592552 41524644 47456736 52400146 55366192 62286966 71185104 78600219 83049288 104800292 110732384 124573932 142370208 157200438 166098576 183400511 209600584 235800657 249147864 314400876 332197152 366801022 419201168 471601314 498295728 550201533 628801752 733602044 838402336 943202628 996591456 1100403066 1257603504 1467204088 1650604599 1886405256 2200806132 2515207008 2934408176 3301209198 3772810512 4401612264 5868816352 6602418396 7545621024 8803224528 13204836792 17606449056 26409673584 52819347168