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806677999872 = 28313919873803
BaseRepresentation
bin10111011110100011100…
…00010111000100000000
32212010011202222021122020
423233101300113010000
5101204034031443442
61414325513041440
7112165142602263
oct13572160270400
92763152867566
10806677999872
11291123778958
1211040a9b6280
135b0b9650ba4
142b087222cda
1515eb47039ec
hexbbd1c17100

806677999872 has 144 divisors (see below), whose sum is σ = 2164042648320. Its totient is φ = 266753673216.

The previous prime is 806677999801. The next prime is 806677999889. The reversal of 806677999872 is 278999776608.

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 15 ways as a sum of consecutive naturals, for example, 212114323 + ... + 212118125.

Almost surely, 2806677999872 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 806677999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082021324160).

806677999872 is an abundant number, since it is smaller than the sum of its proper divisors (1357364648448).

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

806677999872 is a wasteful number, since it uses less digits than its factorization.

806677999872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 78.

The spelling of 806677999872 in words is "eight hundred six billion, six hundred seventy-seven million, nine hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1112 1668 1987 2224 3336 3803 3974 4448 5961 6672 7606 7948 8896 11409 11922 13344 15212 15896 17792 22818 23844 26688 30424 31792 35584 45636 47688 53376 60848 63584 91272 95376 106752 121696 127168 182544 190752 243392 254336 276193 365088 381504 486784 508672 528617 552386 730176 763008 828579 973568 1057234 1104772 1460352 1526016 1585851 1657158 2114468 2209544 2920704 3171702 3314316 4228936 4419088 6343404 6628632 7556561 8457872 8838176 12686808 13257264 15113122 16915744 17676352 22669683 25373616 26514528 30226244 33831488 35352704 45339366 50747232 53029056 60452488 67662976 70705408 90678732 101494464 106058112 120904976 135325952 181357464 202988928 212116224 241809952 362714928 405977856 483619904 725429856 967239808 1050361979 1450859712 1934479616 2100723958 2901719424 3151085937 4201447916 5803438848 6302171874 8402895832 12604343748 16805791664 25208687496 33611583328 50417374992 67223166656 100834749984 134446333312 201669499968 268892666624 403338999936 806677999872