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8689168896 = 29323673671
BaseRepresentation
bin10000001011110101…
…00011001000000000
3211102120012111220020
420011322203020000
5120243411401041
63554115013440
7425216500632
oct100572431000
924376174806
108689168896
11375989a221
121825b9a280
13a8625c575
145c6022a52
1535cc7d866
hex205ea3200

8689168896 has 160 divisors (see below), whose sum is σ = 24522144768. Its totient is φ = 2728366080.

The previous prime is 8689168871. The next prime is 8689168913. The reversal of 8689168896 is 6988619868.

It is a super-2 number, since 2×86891688962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 8689168896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365141 + ... + 2368811.

Almost surely, 28689168896 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 8689168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261072384).

8689168896 is an abundant number, since it is smaller than the sum of its proper divisors (15832975872).

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

8689168896 is a wasteful number, since it uses less digits than its factorization.

8689168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3766 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 69.

The square root of 8689168896 is about 93215.7116370411. The cubic root of 8689168896 is about 2055.8562582768.

The spelling of 8689168896 in words is "eight billion, six hundred eighty-nine million, one hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 67 69 92 96 128 134 138 184 192 201 256 268 276 368 384 402 512 536 552 736 768 804 1072 1104 1472 1536 1541 1608 2144 2208 2944 3082 3216 3671 4288 4416 4623 5888 6164 6432 7342 8576 8832 9246 11013 11776 12328 12864 14684 17152 17664 18492 22026 24656 25728 29368 34304 35328 36984 44052 49312 51456 58736 73968 84433 88104 98624 102912 117472 147936 168866 176208 197248 234944 245957 253299 295872 337732 352416 394496 469888 491914 506598 591744 675464 704832 737871 788992 939776 983828 1013196 1183488 1350928 1409664 1475742 1879552 1967656 2026392 2366976 2701856 2819328 2951484 3935312 4052784 5403712 5638656 5657011 5902968 7870624 8105568 10807424 11314022 11805936 15741248 16211136 16971033 21614848 22628044 23611872 31482496 32422272 33942066 43229696 45256088 47223744 62964992 64844544 67884132 90512176 94447488 125929984 129689088 135768264 181024352 188894976 271536528 362048704 377789952 543073056 724097408 1086146112 1448194816 2172292224 2896389632 4344584448 8689168896