Search a number
-
+
163090498368 = 2637739717137
BaseRepresentation
bin1001011111100011110…
…0111000001101000000
3120120222001112201202110
42113320330320031000
510133002131421433
6202531151215320
714532351235350
oct2277074701500
9516861481673
10163090498368
1163191375346
1227736817540
13124c1618b95
147c72156b60
154397e5a963
hex25f8f38340

163090498368 has 224 divisors, whose sum is σ = 505093329664. Its totient is φ = 45482508288.

The previous prime is 163090498367. The next prime is 163090498387. The reversal of 163090498368 is 863894090361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1630904983682 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163090498367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9508296 + ... + 9525432.

It is an arithmetic number, because the mean of its divisors is an integer number (2254880936).

Almost surely, 2163090498368 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 163090498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252546664832).

163090498368 is an abundant number, since it is smaller than the sum of its proper divisors (342002831296).

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

163090498368 is a wasteful number, since it uses less digits than its factorization.

163090498368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17329 (or 17319 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 163090498368 in words is "one hundred sixty-three billion, ninety million, four hundred ninety-eight thousand, three hundred sixty-eight".