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83834989056 = 293272135
BaseRepresentation
bin100111000010011110…
…1000110101000000000
322000101121022200222200
41032010331012220000
52333143224122211
6102302510433200
76025336435500
oct1160475065000
9260347280880
1083834989056
1132610736125
12142b8202800
137ba0800000
1440b4217a00
1522a9eebb56
hex1384f46a00

83834989056 has 540 divisors, whose sum is σ = 304910668062. Its totient is φ = 22110326784.

The previous prime is 83834989027. The next prime is 83834989057. The reversal of 83834989056 is 65098943838.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

83834989056 is a `hidden beast` number, since 8 + 3 + 8 + 3 + 498 + 90 + 56 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25472160000 + 58362829056 = 159600^2 + 241584^2 .

It is a super-2 number, since 2×838349890562 (a number of 23 digits) contains 22 as substring.

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

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 = 83834988984 and 83834989002.

It is not an unprimeable number, because it can be changed into a prime (83834989057) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6448845306 + ... + 6448845318.

Almost surely, 283834989056 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 83834989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152455334031).

83834989056 is an abundant number, since it is smaller than the sum of its proper divisors (221075679006).

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

83834989056 is an frugal number, since it uses more digits than its factorization.

83834989056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 83834989056 in words is "eighty-three billion, eight hundred thirty-four million, nine hundred eighty-nine thousand, fifty-six".