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82257046209918 = 23317750711936143
BaseRepresentation
bin10010101100111111110110…
…000001010000010101111110
3101210020200210222111021121000
4102230333312001100111332
541240144412312204133
6450540210525551130
723216606200265256
oct2254776601202576
9353220728437530
1082257046209918
112423402116aa58
129285b724154a6
1336b8a6321a648
1416453959a0966
15979a64126413
hex4acff605057e

82257046209918 has 64 divisors (see below), whose sum is σ = 193571789368320. Its totient is φ = 25802692373376.

The previous prime is 82257046209889. The next prime is 82257046209931. The reversal of 82257046209918 is 81990264075228.

82257046209918 is a `hidden beast` number, since 8 + 2 + 2 + 5 + 70 + 462 + 0 + 99 + 18 = 666.

It is a Curzon number.

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, 923355 + ... + 12859497.

It is an arithmetic number, because the mean of its divisors is an integer number (3024559208880).

Almost surely, 282257046209918 is an apocalyptic number.

82257046209918 is an abundant number, since it is smaller than the sum of its proper divisors (111314743158402).

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

82257046209918 is a wasteful number, since it uses less digits than its factorization.

82257046209918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943678 (or 11943672 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 82257046209918 in words is "eighty-two trillion, two hundred fifty-seven billion, forty-six million, two hundred nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 7507 15014 22521 45042 67563 127619 135126 202689 255238 382857 405378 765714 1148571 2297142 3445713 6891426 11936143 23872286 35808429 71616858 107425287 202914431 214850574 322275861 405828862 608743293 644551722 1217486586 1826229879 3652459758 5478689637 10957379274 89604625501 179209251002 268813876503 537627753006 806441629509 1523278633517 1612883259018 2419324888527 3046557267034 4569835900551 4838649777054 9139671801102 13709507701653 27419015403306 41128523104959 82257046209918