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82348544215872 = 26321112996929327
BaseRepresentation
bin10010101110010101000011…
…101110011100101101000000
3101210120102222122010120120100
4102232111003232130231000
541243144304304401442
6451050222101442400
723226325456433154
oct2256250356345500
9353512878116510
1082348544215872
112426990442a0a0
12929b848a10400
1336c45854b437c
141649995803064
1597c11bc5684c
hex4ae543b9cb40

82348544215872 has 84 divisors (see below), whose sum is σ = 257495163846336. Its totient is φ = 24954104305920.

The previous prime is 82348544215829. The next prime is 82348544215921. The reversal of 82348544215872 is 27851244584328.

82348544215872 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 8 + 5 + 4 + 42 + 1 + 587 + 2 = 666.

82348544215872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6498458328 + ... + 6498470999.

Almost surely, 282348544215872 is an apocalyptic number.

It is an amenable number.

82348544215872 is an abundant number, since it is smaller than the sum of its proper divisors (175146619630464).

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

82348544215872 is a wasteful number, since it uses less digits than its factorization.

82348544215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996929356 (or 12996929343 counting only the distinct ones).

The product of its digits is 137625600, while the sum is 63.

The spelling of 82348544215872 in words is "eighty-two trillion, three hundred forty-eight billion, five hundred forty-four million, two hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 12996929327 25993858654 38990787981 51987717308 77981575962 103975434616 116972363943 142966222597 155963151924 207950869232 233944727886 285932445194 311926303848 415901738464 428898667791 467889455772 571864890388 623852607696 831803476928 857797335582 935778911544 1143729780776 1247705215392 1286696003373 1715594671164 1871557823088 2287459561552 2495410430784 2573392006746 3431189342328 3743115646176 4574919123104 5146784013492 6862378684656 7486231292352 9149838246208 10293568026984 13724757369312 20587136053968 27449514738624 41174272107936 82348544215872