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82352185657876 = 222331113255533101
BaseRepresentation
bin10010101110011000011100…
…110001011100101000010100
3101210120210101102010222220201
4102232120130301130220110
541243224234012023001
6451052023302310244
723226514634250151
oct2256303461345024
9353523342128821
1082352185657876
11242704029833a2
1292a04a4428384
1336c4a15a44494
141649c1d29d228
1597c2817a2501
hex4ae61cc5ca14

82352185657876 has 48 divisors (see below), whose sum is σ = 156607039024128. Its totient is φ = 37778013504000.

The previous prime is 82352185657823. The next prime is 82352185657921. The reversal of 82352185657876 is 67875658125328.

82352185657876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 82352185657799 and 82352185657808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127444275 + ... + 128088826.

It is an arithmetic number, because the mean of its divisors is an integer number (3262646646336).

Almost surely, 282352185657876 is an apocalyptic number.

It is an amenable number.

82352185657876 is a deficient number, since it is larger than the sum of its proper divisors (74254853366252).

82352185657876 is a wasteful number, since it uses less digits than its factorization.

82352185657876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255533272 (or 255533270 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 73.

The spelling of 82352185657876 in words is "eighty-two trillion, three hundred fifty-two billion, one hundred eighty-five million, six hundred fifty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 4 23 31 46 62 92 113 124 226 452 713 1426 2599 2852 3503 5198 7006 10396 14012 80569 161138 322276 255533101 511066202 1022132404 5877261323 7921526131 11754522646 15843052262 23509045292 28875240413 31686104524 57750480826 115500961652 182195101013 364390202026 664130529499 728780404052 895132452803 1328261058998 1790264905606 2656522117996 3580529811212 20588046414469 41176092828938 82352185657876