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82810485063488 = 2671315499179363
BaseRepresentation
bin10010110101000011010001…
…100010111011111101000000
3101212012121100002100000201102
4102311003101202323331000
541323231333134012423
6452042340041153532
723304601006026560
oct2265032142737500
9355177302300642
1082810485063488
1124427802a54046
129355287a8b8a8
133728cc26b5a20
141664098116da0
1598915647dc28
hex4b50d18bbf40

82810485063488 has 112 divisors (see below), whose sum is σ = 202379273980800. Its totient is φ = 32739039074304.

The previous prime is 82810485063473. The next prime is 82810485063569. The reversal of 82810485063488 is 88436058401828.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×828104850634882 (a number of 29 digits) contains 22 as substring.

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, 4431695 + ... + 13611057.

It is an arithmetic number, because the mean of its divisors is an integer number (1806957803400).

Almost surely, 282810485063488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82810485063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101189636990400).

82810485063488 is an abundant number, since it is smaller than the sum of its proper divisors (119568788917312).

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

82810485063488 is a wasteful number, since it uses less digits than its factorization.

82810485063488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9180944 (or 9180934 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 65.

The spelling of 82810485063488 in words is "eighty-two trillion, eight hundred ten billion, four hundred eighty-five million, sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 1549 2912 3098 5824 6196 10843 12392 20137 21686 24784 40274 43372 49568 80548 86744 99136 140959 161096 173488 281918 322192 346976 563836 644384 693952 1127672 1288768 2255344 4510688 9021376 9179363 18358726 36717452 64255541 73434904 119331719 128511082 146869808 238663438 257022164 293739616 477326876 514044328 587479232 835322033 954653752 1028088656 1670644066 1909307504 2056177312 3341288132 3818615008 4112354624 6682576264 7637230016 13365152528 14218833287 26730305056 28437666574 53460610112 56875333148 99531833009 113750666296 184844832731 199063666018 227501332592 369689665462 398127332036 455002665184 739379330924 796254664072 910005330368 1293913829117 1478758661848 1592509328144 2587827658234 2957517323696 3185018656288 5175655316468 5915034647392 6370037312576 10351310632936 11830069294784 20702621265872 41405242531744 82810485063488