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82348055435606 = 21741433109441877
BaseRepresentation
bin10010101110010100100110…
…100101111001100101010110
3101210120101201120101222002112
4102232110212211321211112
541243142304142414411
6451050101401311022
723226310403035622
oct2256244645714526
9353511646358075
1082348055435606
1124269683536264
12929b731195472
1336c450815a08c
14164994a92c182
1597c0ddda7b8b
hex4ae526979956

82348055435606 has 64 divisors (see below), whose sum is σ = 137138215959360. Its totient is φ = 36915664343040.

The previous prime is 82348055435557. The next prime is 82348055435609. The reversal of 82348055435606 is 60653455084328.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186138740 + ... + 186580616.

It is an arithmetic number, because the mean of its divisors is an integer number (2142784624365).

Almost surely, 282348055435606 is an apocalyptic number.

82348055435606 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

82348055435606 is a deficient number, since it is larger than the sum of its proper divisors (54790160523754).

82348055435606 is a wasteful number, since it uses less digits than its factorization.

82348055435606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445089.

The product of its (nonzero) digits is 82944000, while the sum is 59.

The spelling of 82348055435606 in words is "eighty-two trillion, three hundred forty-eight billion, fifty-five million, four hundred thirty-five thousand, six hundred six".

Divisors: 1 2 17 34 41 43 82 86 697 731 1394 1462 1763 3109 3526 6218 29971 52853 59942 105706 127469 133687 254938 267374 441877 883754 2166973 2272679 4333946 4545358 5481167 7511909 10962334 15023818 18116957 19000711 36233914 38001422 93179839 186359678 307988269 323012087 615976538 646024174 779029151 1373795593 1558058302 2747591186 13243495567 23354525081 26486991134 46709050162 56325619313 59073210499 112651238626 118146420998 957535528321 1004244578483 1915071056642 2008489156966 2422001630459 4844003260918 41174027717803 82348055435606