Search a number
-
+
316368338220 = 2233511239723873
BaseRepresentation
bin1001001101010010000…
…01011011110100101100
31010020121020211202121000
410212221001123310230
520140410243310340
6401200531240300
731566621335124
oct4465101336454
91106536752530
10316368338220
11112197752050
1251393149090
1323aaacbbc3c
1411452d95c84
1583696b1d30
hex49a905bd2c

316368338220 has 384 divisors, whose sum is σ = 1132017223680. Its totient is φ = 72601436160.

The previous prime is 316368338207. The next prime is 316368338281. The reversal of 316368338220 is 22833863613.

316368338220 is a `hidden beast` number, since 3 + 1 + 636 + 8 + 3 + 3 + 8 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13240204 + ... + 13264076.

It is an arithmetic number, because the mean of its divisors is an integer number (2947961520).

Almost surely, 2316368338220 is an apocalyptic number.

316368338220 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 316368338220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566008611840).

316368338220 is an abundant number, since it is smaller than the sum of its proper divisors (815648885460).

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

316368338220 is a wasteful number, since it uses less digits than its factorization.

316368338220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24022 (or 24014 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 316368338220 in words is "three hundred sixteen billion, three hundred sixty-eight million, three hundred thirty-eight thousand, two hundred twenty".