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806227342640 = 24567317474497
BaseRepresentation
bin10111011101101101110…
…01001111010100110000
32212002000100222112010122
423232312321033110300
5101202123144431030
61414213053545412
7112151031224636
oct13566671172460
92762010875118
10806227342640
11290a12353465
12110303aa5268
135b047183cc5
142b043433356
1515e89d858e5
hexbbb6e4f530

806227342640 has 80 divisors (see below), whose sum is σ = 1908461323872. Its totient is φ = 316674834432.

The previous prime is 806227342579. The next prime is 806227342649. The reversal of 806227342640 is 46243722608.

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

It is a junction number, because it is equal to n+sod(n) for n = 806227342591 and 806227342600.

It is not an unprimeable number, because it can be changed into a prime (806227342649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461872 + ... + 1936368.

Almost surely, 2806227342640 is an apocalyptic number.

806227342640 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 806227342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954230661936).

806227342640 is an abundant number, since it is smaller than the sum of its proper divisors (1102233981232).

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

806227342640 is a wasteful number, since it uses less digits than its factorization.

806227342640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474894 (or 474888 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 806227342640 in words is "eight hundred six billion, two hundred twenty-seven million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 317 335 536 634 670 1072 1268 1340 1585 2536 2680 3170 5072 5360 6340 12680 21239 25360 42478 84956 106195 169912 212390 339824 424780 474497 849560 948994 1699120 1897988 2372485 3795976 4744970 7591952 9489940 18979880 31791299 37959760 63582598 127165196 150415549 158956495 254330392 300831098 317912990 508660784 601662196 635825980 752077745 1203324392 1271651960 1504155490 2406648784 2543303920 3008310980 6016621960 10077841783 12033243920 20155683566 40311367132 50389208915 80622734264 100778417830 161245468528 201556835660 403113671320 806227342640