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316976205420 = 2233571929152189
BaseRepresentation
bin1001001110011010100…
…00010000111001101100
31010022011121122121122000
410213031100100321230
520143131402033140
6401341124052300
731620652201530
oct4471520207154
91108147577560
10316976205420
11112479893736
1251522834090
1323b76c10684
14114ad9c9bc0
1583a2c35a30
hex49cd410e6c

316976205420 has 384 divisors, whose sum is σ = 1227260160000. Its totient is φ = 66271177728.

The previous prime is 316976205341. The next prime is 316976205421. The reversal of 316976205420 is 24502679613.

316976205420 is a `hidden beast` number, since 3 + 16 + 9 + 7 + 6 + 205 + 420 = 666.

It is a super-3 number, since 3×3169762054203 (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (316976205421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2006686 + ... + 2158874.

It is an arithmetic number, because the mean of its divisors is an integer number (3195990000).

Almost surely, 2316976205420 is an apocalyptic number.

316976205420 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 316976205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613630080000).

316976205420 is an abundant number, since it is smaller than the sum of its proper divisors (910283954580).

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

316976205420 is a wasteful number, since it uses less digits than its factorization.

316976205420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152262 (or 152254 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 316976205420 in words is "three hundred sixteen billion, nine hundred seventy-six million, two hundred five thousand, four hundred twenty".