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85007356308 = 223371710196491
BaseRepresentation
bin100111100101011010…
…1010101000110010100
322010102022100010112000
41033022311111012110
52343043340400213
6103015110355300
76066363415020
oct1171265250624
9263368303460
1085007356308
1133062488a86
121458495bb30
13802966ab44
144185bd3380
152327dc9c73
hex13cad55194

85007356308 has 192 divisors, whose sum is σ = 266992588800. Its totient is φ = 22833169920.

The previous prime is 85007356303. The next prime is 85007356319. The reversal of 85007356308 is 80365370058.

85007356308 is a `hidden beast` number, since 8 + 5 + 0 + 0 + 7 + 3 + 5 + 630 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85007356303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13092943 + ... + 13099433.

It is an arithmetic number, because the mean of its divisors is an integer number (1390586400).

Almost surely, 285007356308 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 85007356308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133496294400).

85007356308 is an abundant number, since it is smaller than the sum of its proper divisors (181985232492).

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

85007356308 is a wasteful number, since it uses less digits than its factorization.

85007356308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 85007356308 in words is "eighty-five billion, seven million, three hundred fifty-six thousand, three hundred eight".