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82348147084216 = 231331118049141061
BaseRepresentation
bin10010101110010100101100…
…000011100000101110111000
3101210120101221221212012100111
4102232110230003200232320
541243143001123143331
6451050114433514104
723226312565036006
oct2256245403405670
9353511857765314
1082348147084216
1124269720243212
12929b757a12934
1336c4521138520
141649958b87a76
1597c0e6e5cdb1
hex4ae52c0e0bb8

82348147084216 has 64 divisors (see below), whose sum is σ = 166824999432000. Its totient is φ = 37882261094400.

The previous prime is 82348147084213. The next prime is 82348147084241. The reversal of 82348147084216 is 61248074184328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82348147084211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583706326 + ... + 583847386.

It is an arithmetic number, because the mean of its divisors is an integer number (2606640616125).

Almost surely, 282348147084216 is an apocalyptic number.

It is an amenable number.

82348147084216 is an abundant number, since it is smaller than the sum of its proper divisors (84476852347784).

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

82348147084216 is a wasteful number, since it uses less digits than its factorization.

82348147084216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159440 (or 159436 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 82348147084216 in words is "eighty-two trillion, three hundred forty-eight billion, one hundred forty-seven million, eighty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 311 622 1244 2488 4043 8086 16172 18049 32344 36098 72196 141061 144392 234637 282122 469274 564244 938548 1128488 1833793 1877096 3667586 5613239 7335172 11226478 14670344 22452956 43869971 44905912 72972107 87739942 145944214 175479884 291888428 350959768 570309623 583776856 1140619246 2281238492 2546009989 4562476984 5092019978 10184039956 20368079912 33098129857 66196259714 132392519428 264785038856 791809106579 1583618213158 3167236426316 6334472852632 10293518385527 20587036771054 41174073542108 82348147084216