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82351572018784 = 2517839570131649
BaseRepresentation
bin10010101110010111111000…
…001100100110011001100000
3101210120201210122110220022221
4102232113320030212121200
541243222004414100114
6451051442342040424
723226463503353665
oct2256277014463140
9353521718426287
1082351572018784
112427011855a252
1292a0352a19114
1336c4948881823
141649ba19a5a6c
1597c24798d524
hex4ae5f8326660

82351572018784 has 96 divisors (see below), whose sum is σ = 171906883848000. Its totient is φ = 38699478220800.

The previous prime is 82351572018763. The next prime is 82351572018847. The reversal of 82351572018784 is 48781027515328.

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, 2602011792 + ... + 2602043440.

It is an arithmetic number, because the mean of its divisors is an integer number (1790696706750).

Almost surely, 282351572018784 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 82351572018784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85953441924000).

82351572018784 is an abundant number, since it is smaller than the sum of its proper divisors (89555311829216).

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

82351572018784 is a wasteful number, since it uses less digits than its factorization.

82351572018784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38216 (or 38208 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 61.

The spelling of 82351572018784 in words is "eighty-two trillion, three hundred fifty-one billion, five hundred seventy-two million, eighteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 839 1678 3356 5701 6712 11402 13424 14263 22804 26848 28526 31649 45608 57052 63298 91216 96917 114104 126596 182432 193834 228208 253192 387668 456416 506384 538033 775336 1012768 1076066 1550672 2152132 3101344 4304264 4783139 8608528 9566278 17217056 19132556 26553511 38265112 53107022 76530224 81313363 106214044 153060448 162626726 180430949 212428088 325253452 360861898 424856176 451409687 650506904 721723796 849712352 902819374 1301013808 1443447592 1805638748 2602027616 2886895184 3067326133 3611277496 5773790368 6134652266 7222554992 12269304532 14445109984 24538609064 49077218128 98154436256 151381566211 302763132422 605526264844 1211052529688 2422105059376 2573486625587 4844210118752 5146973251174 10293946502348 20587893004696 41175786009392 82351572018784