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82348055435604 = 22372963904936563
BaseRepresentation
bin10010101110010100100110…
…100101111001100101010100
3101210120101201120101222002110
4102232110212211321211110
541243142304142414404
6451050101401311020
723226310403035620
oct2256244645714524
9353511646358073
1082348055435604
1124269683536262
12929b731195470
1336c450815a08a
14164994a92c180
1597c0ddda7b89
hex4ae526979954

82348055435604 has 96 divisors (see below), whose sum is σ = 219699210931200. Its totient is φ = 23516832837888.

The previous prime is 82348055435557. The next prime is 82348055435609. The reversal of 82348055435604 is 40653455084328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82348055435609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2252205427 + ... + 2252241989.

It is an arithmetic number, because the mean of its divisors is an integer number (2288533447200).

Almost surely, 282348055435604 is an apocalyptic number.

82348055435604 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82348055435604 is an abundant number, since it is smaller than the sum of its proper divisors (137351155495596).

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

82348055435604 is a wasteful number, since it uses less digits than its factorization.

82348055435604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48589 (or 48587 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 57.

The spelling of 82348055435604 in words is "eighty-two trillion, three hundred forty-eight billion, fifty-five million, four hundred thirty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2963 5926 8889 9049 11852 17778 18098 20741 27147 35556 36196 36563 41482 54294 62223 63343 73126 82964 108588 109689 124446 126686 146252 190029 219378 248892 253372 255941 380058 438756 511882 760116 767823 1023764 1535646 3071292 26812187 53624374 80436561 107248748 108336169 160873122 187685309 216672338 321746244 325008507 330858587 375370618 433344676 563055927 650017014 661717174 750741236 758353183 992575761 1126111854 1300034028 1323434348 1516706366 1985151522 2252223708 2275059549 2316010109 3033412732 3970303044 4550119098 4632020218 6948030327 9100238196 9264040436 13896060654 27792121308 980333993281 1960667986562 2941001979843 3921335973124 5882003959686 6862337952967 11764007919372 13724675905934 20587013858901 27449351811868 41174027717802 82348055435604