Search a number
-
+
2091735808668 = 2232115282161133
BaseRepresentation
bin11110011100000101001…
…010110111101010011100
321101222010122221202221100
4132130011022313222130
5233232333331334133
64240532525433100
7304060110004212
oct36340512675234
97358118852840
102091735808668
117371113726a0
1229948610b790
13122332b8ca6c
1473352114cb2
1539626932e13
hex1e7052b7a9c

2091735808668 has 36 divisors (see below), whose sum is σ = 5768119958328. Its totient is φ = 633859335840.

The previous prime is 2091735808583. The next prime is 2091735808751. The reversal of 2091735808668 is 8668085371902.

2091735808668 is a `hidden beast` number, since 209 + 17 + 358 + 0 + 8 + 6 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2641080171 + ... + 2641080962.

It is an arithmetic number, because the mean of its divisors is an integer number (160225554398).

Almost surely, 22091735808668 is an apocalyptic number.

It is an amenable number.

2091735808668 is an abundant number, since it is smaller than the sum of its proper divisors (3676384149660).

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

2091735808668 is a wasteful number, since it uses less digits than its factorization.

2091735808668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282161154 (or 5282161149 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2091735808668 in words is "two trillion, ninety-one billion, seven hundred thirty-five million, eight hundred eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5282161133 10564322266 15846483399 21128644532 31692966798 47539450197 58103772463 63385933596 95078900394 116207544926 174311317389 190157800788 232415089852 348622634778 522933952167 697245269556 1045867904334 2091735808668