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820320312976 = 242915671128227
BaseRepresentation
bin10111110111111101110…
…01101001111010010000
32220102101112101121000221
423323332321221322100
5101420004000003401
61424503331122424
7113160205420003
oct13737671517220
92812345347027
10820320312976
1129699448168a
12112b97743414
135c481b14ac8
142b9bcdcb53a
15165122307a1
hexbefee69e90

820320312976 has 40 divisors (see below), whose sum is σ = 1645227198720. Its totient is φ = 395763629184.

The previous prime is 820320312907. The next prime is 820320313051. The reversal of 820320312976 is 679213023028.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162975 + ... + 1291201.

It is an arithmetic number, because the mean of its divisors is an integer number (41130679968).

Almost surely, 2820320312976 is an apocalyptic number.

It is an amenable number.

820320312976 is an abundant number, since it is smaller than the sum of its proper divisors (824906885744).

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

820320312976 is a wasteful number, since it uses less digits than its factorization.

820320312976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129831 (or 1129825 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 820320312976 in words is "eight hundred twenty billion, three hundred twenty million, three hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 1567 3134 6268 12536 25072 45443 90886 181772 363544 727088 1128227 2256454 4512908 9025816 18051632 32718583 65437166 130874332 261748664 523497328 1767931709 3535863418 7071726836 14143453672 28286907344 51270019561 102540039122 205080078244 410160156488 820320312976