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85094323650 = 2325272171371657
BaseRepresentation
bin100111101000000000…
…1000101010111000010
322010122100222112021200
41033100001011113002
52343233121324100
6103031454402030
76101500550100
oct1172001052702
9263570875250
1085094323650
11330a7588916
12145a9b00316
13804169a5cb
144193590c70
152330857e00
hex13d00455c2

85094323650 has 432 divisors, whose sum is σ = 283816260936. Its totient is φ = 18161418240.

The previous prime is 85094323631. The next prime is 85094323651. The reversal of 85094323650 is 5632349058.

It can be written as a sum of positive squares in 12 ways, for example, as 9979410609 + 75114913041 = 99897^2 + 274071^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 85094323596 and 85094323605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85094323651) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51353622 + ... + 51355278.

Almost surely, 285094323650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85094323650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141908130468).

85094323650 is an abundant number, since it is smaller than the sum of its proper divisors (198721937286).

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

85094323650 is a wasteful number, since it uses less digits than its factorization.

85094323650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 85094323650 in words is "eighty-five billion, ninety-four million, three hundred twenty-three thousand, six hundred fifty".