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85969058238 = 23475983113137
BaseRepresentation
bin101000000010000100…
…1111011100110111110
322012220022221122120000
41100010021323212332
52402031034330423
6103254343135130
76132251636520
oct1200411734676
9265808848500
1085969058238
1133506323968
12147b2a444a6
13815098903b
144237811a10
152382543843
hex140427b9be

85969058238 has 320 divisors, whose sum is σ = 230256069120. Its totient is φ = 23471659008.

The previous prime is 85969058209. The next prime is 85969058239. The reversal of 85969058238 is 83285096958.

85969058238 is a `hidden beast` number, since 8 + 596 + 9 + 0 + 5 + 8 + 2 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85969058239) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 627511306 + ... + 627511442.

It is an arithmetic number, because the mean of its divisors is an integer number (719550216).

Almost surely, 285969058238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85969058238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115128034560).

85969058238 is an abundant number, since it is smaller than the sum of its proper divisors (144287010882).

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

85969058238 is a wasteful number, since it uses less digits than its factorization.

85969058238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 85969058238 in words is "eighty-five billion, nine hundred sixty-nine million, fifty-eight thousand, two hundred thirty-eight".