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85254563520 = 2632574228897
BaseRepresentation
bin100111101100110010…
…0010110011011000000
322011001112111120001200
41033121210112123000
52344100132013040
6103055421101200
76105454555530
oct1173144263300
9264045446050
1085254563520
1133179a84465
12146336b7800
1380689432b9
1441aa9834c0
15233e95b630
hex13d99166c0

85254563520 has 168 divisors, whose sum is σ = 335131708704. Its totient is φ = 19486752768.

The previous prime is 85254563507. The next prime is 85254563549. The reversal of 85254563520 is 2536545258.

85254563520 is a `hidden beast` number, since 8 + 5 + 2 + 5 + 4 + 5 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2094289 + ... + 2134608.

Almost surely, 285254563520 is an apocalyptic number.

85254563520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85254563520 is an abundant number, since it is smaller than the sum of its proper divisors (249877145184).

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

85254563520 is a wasteful number, since it uses less digits than its factorization.

85254563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228927 (or 4228914 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 85254563520 in words is "eighty-five billion, two hundred fifty-four million, five hundred sixty-three thousand, five hundred twenty".