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82348102874304 = 2632417734226827
BaseRepresentation
bin10010101110010100101001…
…011010110111010011000000
3101210120101211212200002202100
4102232110221122313103000
541243142403313434204
6451050110214150400
723226311520205101
oct2256245132672300
9353511755602670
1082348102874304
11242696a82976a3
12929b745052400
1336c4514c29707
141649952d5a3a8
1597c0e3128a39
hex4ae5296b74c0

82348102874304 has 84 divisors (see below), whose sum is σ = 236092483870984. Its totient is φ = 27442795272192.

The previous prime is 82348102874299. The next prime is 82348102874311. The reversal of 82348102874304 is 40347820184328.

82348102874304 is a `hidden beast` number, since 8 + 2 + 3 + 48 + 10 + 287 + 4 + 304 = 666.

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, 14707462 + ... + 19519365.

Almost surely, 282348102874304 is an apocalyptic number.

It is an amenable number.

82348102874304 is an abundant number, since it is smaller than the sum of its proper divisors (153744380996680).

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

82348102874304 is a wasteful number, since it uses less digits than its factorization.

82348102874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34231022 (or 34231009 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 82348102874304 in words is "eighty-two trillion, three hundred forty-eight billion, one hundred two million, eight hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4177 8354 12531 16708 25062 33416 37593 50124 66832 75186 100248 133664 150372 200496 267328 300744 400992 601488 801984 1202976 2405952 34226827 68453654 102680481 136907308 205360962 273814616 308041443 410721924 547629232 616082886 821443848 1095258464 1232165772 1642887696 2190516928 2464331544 3285775392 4928663088 6571550784 9857326176 19714652352 142965456379 285930912758 428896369137 571861825516 857792738274 1143723651032 1286689107411 1715585476548 2287447302064 2573378214822 3431170953096 4574894604128 5146756429644 6862341906192 9149789208256 10293512859288 13724683812384 20587025718576 27449367624768 41174051437152 82348102874304