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85139914860 = 223557112133743
BaseRepresentation
bin100111101001010111…
…1000000000001101100
322010202112202210200000
41033102233000001230
52343331304233420
6103040203504300
76102563223060
oct1172257000154
9263675683600
1085139914860
1133120298200
1214601228090
13804ac71060
14419965baa0
152334861690
hex13d2bc006c

85139914860 has 1728 divisors, whose sum is σ = 380764640256. Its totient is φ = 15519651840.

The previous prime is 85139914843. The next prime is 85139914883. The reversal of 85139914860 is 6841993158.

85139914860 is a `hidden beast` number, since 8 + 51 + 399 + 148 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85139914797 and 85139914806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1979997999 + ... + 1979998041.

Almost surely, 285139914860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85139914860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190382320128).

85139914860 is an abundant number, since it is smaller than the sum of its proper divisors (295624725396).

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

85139914860 is a wasteful number, since it uses less digits than its factorization.

85139914860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 85139 and 914860, that added together give a palindrome (999999).

The spelling of 85139914860 in words is "eighty-five billion, one hundred thirty-nine million, nine hundred fourteen thousand, eight hundred sixty".