Search a number
-
+
802997349888 = 29323130117471
BaseRepresentation
bin10111010111101100101…
…11110010111000000000
32211202200021011220001110
423223312113302320000
5101124014310144023
61412520352003320
7112005010566306
oct13536627627000
92752607156043
10802997349888
1128a605085068
1210b762230540
135a950c438a6
142ac1847c276
1515d4b510a93
hexbaf65f2e00

802997349888 has 160 divisors (see below), whose sum is σ = 2234089009152. Its totient is φ = 255816704000.

The previous prime is 802997349887. The next prime is 802997349901. The reversal of 802997349888 is 888943799208.

It is a super-2 number, since 2×8029973498882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802997349887) 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, 45952993 + ... + 45970463.

Almost surely, 2802997349888 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 802997349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117044504576).

802997349888 is an abundant number, since it is smaller than the sum of its proper divisors (1431091659264).

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

802997349888 is a wasteful number, since it uses less digits than its factorization.

802997349888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18816 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 75.

The spelling of 802997349888 in words is "eight hundred two billion, nine hundred ninety-seven million, three hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1301 1472 1536 2208 2602 2944 3903 4416 5204 5888 7806 8832 10408 11776 15612 17471 17664 20816 29923 31224 34942 35328 41632 52413 59846 62448 69884 83264 89769 104826 119692 124896 139768 166528 179538 209652 239384 249792 279536 333056 359076 401833 419304 478768 499584 559072 666112 718152 803666 838608 957536 999168 1118144 1205499 1436304 1607332 1677216 1915072 1998336 2236288 2410998 2872608 3214664 3354432 3830144 4472576 4821996 5745216 6429328 6708864 7660288 8945152 9643992 11490432 12858656 13417728 15320576 19287984 22729771 22980864 25717312 26835456 38575968 45459542 45961728 51434624 68189313 77151936 90919084 102869248 136378626 154303872 181838168 205738496 272757252 308607744 363676336 522784733 545514504 617215488 727352672 1045569466 1091029008 1454705344 1568354199 2091138932 2182058016 2909410688 3136708398 4182277864 4364116032 5818821376 6273416796 8364555728 8728232064 11637642752 12546833592 16729111456 17456464128 25093667184 33458222912 34912928256 50187334368 66916445824 100374668736 133832891648 200749337472 267665783296 401498674944 802997349888