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316688486400 = 2123552111389
BaseRepresentation
bin1001001101111000001…
…10101101000000000000
31010021102120020222100000
410212330012231000000
520142034223031100
6401252405200000
731610556501546
oct4467406550000
91107376228300
10316688486400
11112341438120
1251462400000
1323b2c422730
14114836d1d96
158387850900
hex49bc1ad000

316688486400 has 1872 divisors, whose sum is σ = 1397499929280. Its totient is φ = 70071091200.

The previous prime is 316688486399. The next prime is 316688486419. The reversal of 316688486400 is 4684886613.

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3558297556 + ... + 3558297644.

It is an arithmetic number, because the mean of its divisors is an integer number (746527740).

Almost surely, 2316688486400 is an apocalyptic number.

316688486400 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 316688486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698749964640).

316688486400 is an abundant number, since it is smaller than the sum of its proper divisors (1080811442880).

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

316688486400 is a wasteful number, since it uses less digits than its factorization.

316688486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 316688486400 in words is "three hundred sixteen billion, six hundred eighty-eight million, four hundred eighty-six thousand, four hundred".