Search a number
-
+
831745075980 = 22357131761712069
BaseRepresentation
bin11000001101001111101…
…11101010101100001100
32221111212202002200120110
430012213313222230030
5102111403214412410
61434033131320020
7114043263331650
oct14064767525414
92844782080513
10831745075980
112a0817459185
121152458b0010
1360582a410c0
142c38446aa60
1516980225720
hexc1a7deab0c

831745075980 has 768 divisors, whose sum is σ = 3129639690240. Its totient is φ = 160092979200.

The previous prime is 831745075933. The next prime is 831745075999. The reversal of 831745075980 is 89570547138.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 831745075980.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 402002386 + ... + 402004454.

It is an arithmetic number, because the mean of its divisors is an integer number (4075051680).

Almost surely, 2831745075980 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 831745075980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564819845120).

831745075980 is an abundant number, since it is smaller than the sum of its proper divisors (2297894614260).

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

831745075980 is a wasteful number, since it uses less digits than its factorization.

831745075980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 831745075980 in words is "eight hundred thirty-one billion, seven hundred forty-five million, seventy-five thousand, nine hundred eighty".