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85256058546 = 2339711625969
BaseRepresentation
bin100111101100110101…
…0000011011010110010
322011001122022111212000
41033121222003122302
52344101022333141
6103055513114430
76105503353311
oct1173152033262
9264048274760
1085256058546
113317a90571a
12146340b8a16
138069047929
1441aac52278
15233eb545b6
hex13d9a836b2

85256058546 has 32 divisors (see below), whose sum is σ = 189653140800. Its totient is φ = 28389401280.

The previous prime is 85256058541. The next prime is 85256058593. The reversal of 85256058546 is 64585065258.

It is a happy number.

85256058546 is a `hidden beast` number, since 8 + 5 + 2 + 56 + 0 + 585 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85256058492 and 85256058501.

It is not an unprimeable number, because it can be changed into a prime (85256058541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 760551 + ... + 865418.

It is an arithmetic number, because the mean of its divisors is an integer number (5926660650).

Almost surely, 285256058546 is an apocalyptic number.

85256058546 is an abundant number, since it is smaller than the sum of its proper divisors (104397082254).

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

85256058546 is a wasteful number, since it uses less digits than its factorization.

85256058546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626951 (or 1626945 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 85256058546 in words is "eighty-five billion, two hundred fifty-six million, fifty-eight thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 971 1942 2913 5826 8739 17478 26217 52434 1625969 3251938 4877907 9755814 14633721 29267442 43901163 87802326 1578815899 3157631798 4736447697 9472895394 14209343091 28418686182 42628029273 85256058546