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82565151516 = 223228337921383
BaseRepresentation
bin100110011100101000…
…1000011101100011100
321220010002220021100200
41030321101003230130
52323043134322031
6101532505423500
75652020131311
oct1147121035434
9256102807320
1082565151516
113201996a411
1214002a9ab90
137a2a6c5c53
143dd3708d08
1522337b88e6
hex1339443b1c

82565151516 has 72 divisors (see below), whose sum is σ = 210006276480. Its totient is φ = 27350828064.

The previous prime is 82565151499. The next prime is 82565151521. The reversal of 82565151516 is 61515156528.

82565151516 is a `hidden beast` number, since 8 + 25 + 65 + 1 + 51 + 516 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850561 + ... + 3871943.

It is an arithmetic number, because the mean of its divisors is an integer number (2916753840).

Almost surely, 282565151516 is an apocalyptic number.

It is an amenable number.

82565151516 is an abundant number, since it is smaller than the sum of its proper divisors (127441124964).

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

82565151516 is a wasteful number, since it uses less digits than its factorization.

82565151516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22055 (or 22050 counting only the distinct ones).

The product of its digits is 360000, while the sum is 45.

The spelling of 82565151516 in words is "eighty-two billion, five hundred sixty-five million, one hundred fifty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 283 379 566 758 849 1132 1137 1516 1698 2274 2547 3396 3411 4548 5094 6822 10188 13644 21383 42766 64149 85532 107257 128298 192447 214514 256596 321771 384894 429028 643542 769788 965313 1287084 1930626 3861252 6051389 8104157 12102778 16208314 18154167 24205556 24312471 32416628 36308334 48624942 54462501 72616668 72937413 97249884 108925002 145874826 217850004 291749652 2293476431 4586952862 6880429293 9173905724 13760858586 20641287879 27521717172 41282575758 82565151516