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316394981280 = 253657479809
BaseRepresentation
bin1001001101010101001…
…11000100011110100000
31010020200002222101000000
410212222213010132200
520140434103400110
6401203322300000
731600363652520
oct4465247043640
91106602871000
10316394981280
1111220079a404
12513a0057600
1323ab3689c71
141145672d680
15836bbc61c0
hex49aa9c47a0

316394981280 has 672 divisors, whose sum is σ = 1285074201600. Its totient is φ = 72078667776.

The previous prime is 316394981263. The next prime is 316394981281. The reversal of 316394981280 is 82189493613.

316394981280 is a `hidden beast` number, since 3 + 1 + 63 + 9 + 498 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (316394981281) 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 111 ways as a sum of consecutive naturals, for example, 391093516 + ... + 391094324.

It is an arithmetic number, because the mean of its divisors is an integer number (1912312800).

Almost surely, 2316394981280 is an apocalyptic number.

316394981280 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 316394981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642537100800).

316394981280 is an abundant number, since it is smaller than the sum of its proper divisors (968679220320).

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

316394981280 is an equidigital number, since it uses as much as digits as its factorization.

316394981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 316394981280 in words is "three hundred sixteen billion, three hundred ninety-four million, nine hundred eighty-one thousand, two hundred eighty".