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8768813956 = 22719167229431
BaseRepresentation
bin10000010101010100…
…10111101110000100
3211122010001220101021
420022222113232010
5120424304021311
64010042040524
7430204455160
oct101252275604
924563056337
108768813956
11379a848791
1218487a9144
13a998c7216
145d2835ca0
15364c62171
hex20aa97b84

8768813956 has 96 divisors (see below), whose sum is σ = 18695577600. Its totient is φ = 3515322240.

The previous prime is 8768813939. The next prime is 8768813957. The reversal of 8768813956 is 6593188678.

It is a junction number, because it is equal to n+sod(n) for n = 8768813894 and 8768813903.

It is not an unprimeable number, because it can be changed into a prime (8768813957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20345061 + ... + 20345491.

It is an arithmetic number, because the mean of its divisors is an integer number (194745600).

Almost surely, 28768813956 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 8768813956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9347788800).

8768813956 is an abundant number, since it is smaller than the sum of its proper divisors (9926763644).

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

8768813956 is a wasteful number, since it uses less digits than its factorization.

8768813956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The square root of 8768813956 is about 93641.9454945272. The cubic root of 8768813956 is about 2062.1185008302.

The spelling of 8768813956 in words is "eight billion, seven hundred sixty-eight million, eight hundred thirteen thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 167 229 266 334 431 458 532 668 862 916 1169 1603 1724 2338 3017 3173 3206 4351 4676 6034 6346 6412 8189 8702 12068 12692 16378 17404 22211 30457 32756 38243 44422 57323 60914 71977 76486 88844 98699 114646 121828 143954 152972 197398 229292 267701 287908 394796 503839 535402 690893 726617 1007678 1070804 1367563 1381786 1453234 1875281 2015356 2735126 2763572 2906468 3750562 5086319 5470252 7501124 9572941 10172638 13126967 16482733 19145882 20345276 26253934 32965466 38291764 52507868 65930932 115379131 230758262 313171927 461516524 626343854 1252687708 2192203489 4384406978 8768813956