Search a number
-
+
316863809280 = 2834523891493
BaseRepresentation
bin1001001110001101000…
…11100000011100000000
31010021212210011022010000
410213012203200130000
520142414113344110
6401322031040000
731615115640144
oct4470643403400
91107783138100
10316863809280
111124213a5867
12514b1070000
1323b59849795
141149cacd224
158397e331c0
hex49c68e0700

316863809280 has 720 divisors, whose sum is σ = 1197186661440. Its totient is φ = 79861579776.

The previous prime is 316863809261. The next prime is 316863809281. The reversal of 316863809280 is 82908368613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316863809281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212232214 + ... + 212233706.

It is an arithmetic number, because the mean of its divisors is an integer number (1662759252).

Almost surely, 2316863809280 is an apocalyptic number.

316863809280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316863809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598593330720).

316863809280 is an abundant number, since it is smaller than the sum of its proper divisors (880322852160).

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

316863809280 is a wasteful number, since it uses less digits than its factorization.

316863809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 316863809280 in words is "three hundred sixteen billion, eight hundred sixty-three million, eight hundred nine thousand, two hundred eighty".