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805447070320 = 245232617167269
BaseRepresentation
bin10111011100010000110…
…00101111001001110000
32211222222222202120201211
423232020120233021300
5101144023422222240
61414003422005504
7112122505064344
oct13561030571160
92758888676654
10805447070320
11290651967302
12110126716894
135ac5161a5c9
142adab961624
1515e41608bea
hexbb8862f270

805447070320 has 80 divisors (see below), whose sum is σ = 1954843007040. Its totient is φ = 308051453952.

The previous prime is 805447070287. The next prime is 805447070321. The reversal of 805447070320 is 23070744508.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805447070321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4731646 + ... + 4898914.

It is an arithmetic number, because the mean of its divisors is an integer number (24435537588).

Almost surely, 2805447070320 is an apocalyptic number.

805447070320 is a gapful number since it is divisible by the number (80) 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 805447070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977421503520).

805447070320 is an abundant number, since it is smaller than the sum of its proper divisors (1149395936720).

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

805447070320 is a wasteful number, since it uses less digits than its factorization.

805447070320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169922 (or 169916 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 805447070320 in words is "eight hundred five billion, four hundred forty-seven million, seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2617 5234 10468 13085 20936 26170 41872 52340 60191 104680 120382 167269 209360 240764 300955 334538 481528 601910 669076 836345 963056 1203820 1338152 1672690 2407640 2676304 3345380 3847187 4815280 6690760 7694374 13381520 15388748 19235935 30777496 38471870 61554992 76943740 153887480 307774960 437742973 875485946 1750971892 2188714865 3501943784 4377429730 7003887568 8754859460 10068088379 17509718920 20136176758 35019437840 40272353516 50340441895 80544707032 100680883790 161089414064 201361767580 402723535160 805447070320