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316127467668 = 2231913738926017
BaseRepresentation
bin1001001100110101010…
…10100101100010010100
31010012222110121021022110
410212122222211202110
520134412112431133
6401121004431020
731560635065455
oct4463252454224
91105873537273
10316127467668
11112083794481
1251326548470
1323a70124a9c
141142cdb512c
158353482c63
hex499aaa5894

316127467668 has 96 divisors (see below), whose sum is σ = 784161705600. Its totient is φ = 98842484736.

The previous prime is 316127467637. The next prime is 316127467697. The reversal of 316127467668 is 866764721613.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12137796 + ... + 12163812.

It is an arithmetic number, because the mean of its divisors is an integer number (8168351100).

Almost surely, 2316127467668 is an apocalyptic number.

316127467668 is a gapful number since it is divisible by the number (38) 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 316127467668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392080852800).

316127467668 is an abundant number, since it is smaller than the sum of its proper divisors (468034237932).

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

316127467668 is a wasteful number, since it uses less digits than its factorization.

316127467668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26569 (or 26567 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The spelling of 316127467668 in words is "three hundred sixteen billion, one hundred twenty-seven million, four hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 389 411 548 778 822 1167 1556 1644 2334 2603 4668 5206 7391 7809 10412 14782 15618 22173 26017 29564 31236 44346 52034 53293 78051 88692 104068 106586 156102 159879 213172 312204 319758 494323 639516 988646 1012567 1482969 1977292 2025134 2965938 3037701 3564329 4050268 5931876 6075402 7128658 10120613 10692987 12150804 14257316 20241226 21385974 30361839 40482452 42771948 60723678 67722251 121447356 135444502 192291647 203166753 270889004 384583294 406333506 576874941 769166588 812667012 1153749882 1386523981 2307499764 2773047962 4159571943 5546095924 8319143886 16638287772 26343955639 52687911278 79031866917 105375822556 158063733834 316127467668