Search a number
-
+
3163105728 = 26352337239
BaseRepresentation
bin1011110010001001…
…0010100111000000
322011102221102100000
42330202102213000
522434223340403
61241512200000
7141245645406
oct27442224700
98142842300
103163105728
111383544172
12743399000
133b54217c3
14220143476
15137a617a3
hexbc8929c0

3163105728 has 336 divisors, whose sum is σ = 10118384640. Its totient is φ = 977163264.

The previous prime is 3163105639. The next prime is 3163105741. The reversal of 3163105728 is 8275013613.

3163105728 is a `hidden beast` number, since 316 + 310 + 5 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3163105692 and 3163105701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13234633 + ... + 13234871.

It is an arithmetic number, because the mean of its divisors is an integer number (30114240).

Almost surely, 23163105728 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 3163105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059192320).

3163105728 is an abundant number, since it is smaller than the sum of its proper divisors (6955278912).

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

3163105728 is a wasteful number, since it uses less digits than its factorization.

3163105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3163105728 is about 56241.4947169792. The cubic root of 3163105728 is about 1467.9273747874.

The spelling of 3163105728 in words is "three billion, one hundred sixty-three million, one hundred five thousand, seven hundred twenty-eight".