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85316234850 = 23452721131719
BaseRepresentation
bin100111101110100111…
…1100110111001100010
322011012211112210020000
41033131033212321202
52344211424003400
6103105503000430
76110134013400
oct1173517467142
9264184483200
1085316234850
1133200877000
1214650299116
138078656c02
1441b4c38470
15234508e600
hex13dd3e6e62

85316234850 has 1440 divisors, whose sum is σ = 338054523840. Its totient is φ = 15807052800.

The previous prime is 85316234827. The next prime is 85316234863. The reversal of 85316234850 is 5843261358.

85316234850 is a `hidden beast` number, since 8 + 5 + 3 + 162 + 3 + 485 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85316234796 and 85316234805.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4490328141 + ... + 4490328159.

It is an arithmetic number, because the mean of its divisors is an integer number (234760086).

Almost surely, 285316234850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85316234850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169027261920).

85316234850 is an abundant number, since it is smaller than the sum of its proper divisors (252738288990).

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

85316234850 is a wasteful number, since it uses less digits than its factorization.

85316234850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85316234850 in words is "eighty-five billion, three hundred sixteen million, two hundred thirty-four thousand, eight hundred fifty".