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28313738706 = 231119831991367
BaseRepresentation
bin11010010111101000…
…010101110111010010
32201002020021221202010
4122113220111313102
5430441304114311
621001313403350
72021432544111
oct322750256722
981066257663
1028313738706
111100a404a60
1255a2269556
132892c19056
1415284dbc78
15b0aa8ada6
hex697a15dd2

28313738706 has 128 divisors (see below), whose sum is σ = 66189312000. Its totient is φ = 7984215360.

The previous prime is 28313738699. The next prime is 28313738707. The reversal of 28313738706 is 60783731382.

It is not an unprimeable number, because it can be changed into a prime (28313738707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20711635 + ... + 20713001.

It is an arithmetic number, because the mean of its divisors is an integer number (517104000).

Almost surely, 228313738706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28313738706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656000).

28313738706 is an abundant number, since it is smaller than the sum of its proper divisors (37875573294).

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

28313738706 is a wasteful number, since it uses less digits than its factorization.

28313738706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 28313738706 in words is "twenty-eight billion, three hundred thirteen million, seven hundred thirty-eight thousand, seven hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 83 114 166 199 209 249 398 418 498 597 627 913 1194 1254 1367 1577 1826 2189 2734 2739 3154 3781 4101 4378 4731 5478 6567 7562 8202 9462 11343 13134 15037 16517 17347 22686 25973 30074 33034 34694 41591 45111 49551 51946 52041 77919 83182 90222 99102 104082 113461 124773 155838 181687 226922 249546 272033 285703 313823 340383 363374 544066 545061 571406 627646 680766 816099 857109 941469 1090122 1248071 1632198 1714218 1882938 2155759 2496142 2992363 3452053 3744213 4311518 5168627 5984726 6467277 6904106 7488426 8977089 10337254 10356159 12934554 15505881 17954178 20712318 22578739 23713349 31011762 45157478 47426698 56854897 67736217 71140047 113709794 135472434 142280094 170564691 248366129 341129382 428996041 496732258 745098387 857992082 1286988123 1490196774 2573976246 4718956451 9437912902 14156869353 28313738706