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82108644624405 = 335786887454629
BaseRepresentation
bin10010101010110101101000…
…100110001000100000010101
3101202201111202121201122012000
4102222311220212020200111
541230232001010440110
6450344105100545513
723203103520521460
oct2252655046104025
9352644677648160
1082108644624405
1124187098360313
129261256b52299
1336a7a72b6a399
14163c1186102d7
15975c7aa311c0
hex4aad68988815

82108644624405 has 32 divisors (see below), whose sum is σ = 166823912889600. Its totient is φ = 37535380399296.

The previous prime is 82108644624389. The next prime is 82108644624431. The reversal of 82108644624405 is 50442644680128.

82108644624405 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 8 + 6 + 4 + 4 + 624 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 82108644624405 - 24 = 82108644624389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43443726370 + ... + 43443728259.

It is an arithmetic number, because the mean of its divisors is an integer number (5213247277800).

Almost surely, 282108644624405 is an apocalyptic number.

It is an amenable number.

82108644624405 is an abundant number, since it is smaller than the sum of its proper divisors (84715268265195).

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

82108644624405 is a wasteful number, since it uses less digits than its factorization.

82108644624405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86887454650 (or 86887454644 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 82108644624405 in words is "eighty-two trillion, one hundred eight billion, six hundred forty-four million, six hundred twenty-four thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 86887454629 260662363887 434437273145 608212182403 781987091661 1303311819435 1824636547209 2345961274983 3041060912015 3909935458305 5473909641627 9123182736045 11729806374915 16421728924881 27369548208135 82108644624405