Search a number
-
+
996380314384 = 247133122273137
BaseRepresentation
bin11100111111111001110…
…01010000101100010000
310112020211110100100021211
432133330321100230100
5112311041330030014
62041421504025504
7131662142634520
oct16377471205420
93466743310254
10996380314384
11354620791584
12141131902294
1372c5c3b5430
1436321811680
151adb8ab6cc4
hexe7fce50b10

996380314384 has 240 divisors, whose sum is σ = 2466702370944. Its totient is φ = 379655700480.

The previous prime is 996380314381. The next prime is 996380314403. The reversal of 996380314384 is 483413083699.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (996380314381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317620464 + ... + 317623600.

Almost surely, 2996380314384 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 996380314384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233351185472).

996380314384 is an abundant number, since it is smaller than the sum of its proper divisors (1470322056560).

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

996380314384 is a wasteful number, since it uses less digits than its factorization.

996380314384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 996380314384 in words is "nine hundred ninety-six billion, three hundred eighty million, three hundred fourteen thousand, three hundred eighty-four".