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806901136128 = 2833791477711
BaseRepresentation
bin10111011110111110000…
…11100011101100000000
32212010202022211210001000
423233133003203230000
5101210013142324003
61414404003412000
7112203522330303
oct13573703435400
92763668753030
10806901136128
1129122872348a
12110471684000
135b123948c89
142b0a8b08b3a
1515ec90cd1a3
hexbbdf0e3b00

806901136128 has 144 divisors (see below), whose sum is σ = 2416354662400. Its totient is φ = 265562219520.

The previous prime is 806901136109. The next prime is 806901136193. The reversal of 806901136128 is 821631109608.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×8069011361283 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192808 + ... + 1284903.

Almost surely, 2806901136128 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 806901136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208177331200).

806901136128 is an abundant number, since it is smaller than the sum of its proper divisors (1609453526272).

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

806901136128 is a wasteful number, since it uses less digits than its factorization.

806901136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477815 (or 1477795 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 806901136128 in words is "eight hundred six billion, nine hundred one million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 576 632 711 768 864 948 1152 1264 1422 1728 1896 2133 2304 2528 2844 3456 3792 4266 5056 5688 6912 7584 8532 10112 11376 15168 17064 20224 22752 30336 34128 45504 60672 68256 91008 136512 182016 273024 546048 1477711 2955422 4433133 5910844 8866266 11821688 13299399 17732532 23643376 26598798 35465064 39898197 47286752 53197596 70930128 79796394 94573504 106395192 116739169 141860256 159592788 189147008 212790384 233478338 283720512 319185576 350217507 378294016 425580768 466956676 567441024 638371152 700435014 851161536 933913352 1050652521 1134882048 1276742304 1400870028 1702323072 1867826704 2101305042 2553484608 2801740056 3151957563 3404646144 3735653408 4202610084 5106969216 5603480112 6303915126 7471306816 8405220168 10213938432 11206960224 12607830252 14942613632 16810440336 22413920448 25215660504 29885227264 33620880672 44827840896 50431321008 67241761344 89655681792 100862642016 134483522688 201725284032 268967045376 403450568064 806901136128