Search a number
-
+
3193163813840 = 245711131719413011
BaseRepresentation
bin101110011101110111011…
…001010001001111010000
3102022021010002001201111112
4232131313121101033100
5404304044414020330
610442530314232452
7446461401404150
oct56356731211720
912267102051445
103193163813840
111021238800050
12436a34125728
131a21637707c0
14b079b100760
15580dc95b795
hex2e7776513d0

3193163813840 has 1280 divisors, whose sum is σ = 11384631336960. Its totient is φ = 798916608000.

The previous prime is 3193163813837. The next prime is 3193163813947. The reversal of 3193163813840 is 483183613913.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1060497935 + ... + 1060500945.

It is an arithmetic number, because the mean of its divisors is an integer number (8894243232).

Almost surely, 23193163813840 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 3193163813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692315668480).

3193163813840 is an abundant number, since it is smaller than the sum of its proper divisors (8191467523120).

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

3193163813840 is a wasteful number, since it uses less digits than its factorization.

3193163813840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 3193163813840 in words is "three trillion, one hundred ninety-three billion, one hundred sixty-three million, eight hundred thirteen thousand, eight hundred forty".