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82159621947 = 33131282118257
BaseRepresentation
bin100110010000100011…
…0000101011100111011
321212001211211020101000
41030201012011130323
52321230330400242
6101424341500043
75635664156334
oct1144106053473
9255054736330
1082159621947
1131930a68007
1213b0b111623
137994699820
143d9590528b
15220cdb1a4c
hex132118573b

82159621947 has 32 divisors (see below), whose sum is σ = 131098282560. Its totient is φ = 50553054720.

The previous prime is 82159621937. The next prime is 82159621993. The reversal of 82159621947 is 74912695128.

It is a happy number.

82159621947 is a `hidden beast` number, since 8 + 2 + 1 + 5 + 9 + 621 + 9 + 4 + 7 = 666.

It is not a de Polignac number, because 82159621947 - 24 = 82159621931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82159621893 and 82159621902.

It is not an unprimeable number, because it can be changed into a prime (82159621927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4491043 + ... + 4509299.

It is an arithmetic number, because the mean of its divisors is an integer number (4096821330).

Almost surely, 282159621947 is an apocalyptic number.

82159621947 is a deficient number, since it is larger than the sum of its proper divisors (48938660613).

82159621947 is a wasteful number, since it uses less digits than its factorization.

82159621947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31100 (or 31094 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 82159621947 in words is "eighty-two billion, one hundred fifty-nine million, six hundred twenty-one thousand, nine hundred forty-seven".

Divisors: 1 3 9 13 27 39 117 351 12821 18257 38463 54771 115389 164313 166673 237341 346167 492939 500019 712023 1500057 2136069 4500171 6408207 234072997 702218991 2106656973 3042948961 6319970919 9128846883 27386540649 82159621947