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809238527968 = 251319797128461
BaseRepresentation
bin10111100011010100101…
…11111111111111100000
32212100210020001120212011
423301222113333333200
5101224310030343333
61415431542042304
7112315453664623
oct13615227777740
92770706046764
10809238527968
11292218063582
12110a04419394
135b406c83780
142b24b30bdba
15160b43d89cd
hexbc6a5fffe0

809238527968 has 96 divisors (see below), whose sum is σ = 1808323604640. Its totient is φ = 353390376960.

The previous prime is 809238527959. The next prime is 809238527969. The reversal of 809238527968 is 869725832908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809238527969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6235258 + ... + 6363718.

It is an arithmetic number, because the mean of its divisors is an integer number (18836704215).

Almost surely, 2809238527968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809238527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904161802320).

809238527968 is an abundant number, since it is smaller than the sum of its proper divisors (999085076672).

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

809238527968 is a wasteful number, since it uses less digits than its factorization.

809238527968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129300 (or 129292 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 67.

The spelling of 809238527968 in words is "eight hundred nine billion, two hundred thirty-eight million, five hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 797 988 1594 1976 3188 3952 6376 7904 10361 12752 15143 20722 25504 30286 41444 60572 82888 121144 128461 165776 196859 242288 256922 331552 393718 484576 513844 787436 1027688 1574872 1669993 2055376 2440759 3149744 3339986 4110752 4881518 6299488 6679972 9763036 13359944 19526072 26719888 31729867 39052144 53439776 63459734 78104288 102383417 126919468 204766834 253838936 409533668 507677872 819067336 1015355744 1330984421 1638134672 1945284923 2661968842 3276269344 3890569846 5323937684 7781139692 10647875368 15562279384 21295750736 25288703999 31124558768 42591501472 50577407998 62249117536 101154815996 202309631992 404619263984 809238527968