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28702160082 = 23329129114197
BaseRepresentation
bin11010101110110010…
…000011010011010010
32202002022011210201000
4122232302003103102
5432240223110312
621104030522430
72034160223001
oct325662032322
982068153630
1028702160082
1111199691762
125690366416
13292553539b
141563d2ac38
15b2ec13adc
hex6aec834d2

28702160082 has 64 divisors (see below), whose sum is σ = 66037737600. Its totient is φ = 9229671360.

The previous prime is 28702160063. The next prime is 28702160089. The reversal of 28702160082 is 28006120782.

It is a happy number.

28702160082 is a `hidden beast` number, since 28 + 7 + 0 + 21 + 600 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (28702160089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2014608 + ... + 2028804.

It is an arithmetic number, because the mean of its divisors is an integer number (1031839650).

Almost surely, 228702160082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28702160082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33018868800).

28702160082 is an abundant number, since it is smaller than the sum of its proper divisors (37335577518).

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

28702160082 is a wasteful number, since it uses less digits than its factorization.

28702160082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15522 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 28702160082 in words is "twenty-eight billion, seven hundred two million, one hundred sixty thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1291 1566 2582 3873 7746 11619 14197 23238 28394 34857 37439 42591 69714 74878 85182 112317 127773 224634 255546 336951 383319 411713 673902 766638 823426 1010853 1235139 2021706 2470278 3705417 7410834 11116251 18328327 22232502 36656654 54984981 109969962 164954943 329909886 494864829 531521483 989729658 1063042966 1594564449 3189128898 4783693347 9567386694 14351080041 28702160082