Search a number
-
+
20320641576 = 2332282231133
BaseRepresentation
bin10010111011001101…
…000110001000101000
31221110011212112210200
4102323031012020220
5313104041012301
613200221512200
71316364413664
oct227315061050
957404775720
1020320641576
118688521864
123b31412660
131bbac51b91
14daab0d8a4
157ddea5c86
hex4bb346228

20320641576 has 24 divisors (see below), whose sum is σ = 55035071130. Its totient is φ = 6773547168.

The previous prime is 20320641559. The next prime is 20320641599. The reversal of 20320641576 is 67514602302.

20320641576 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 641 + 5 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19341577476 + 979064100 = 139074^2 + 31290^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20320641576.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141115495 + ... + 141115638.

Almost surely, 220320641576 is an apocalyptic number.

It is an amenable number.

20320641576 is an abundant number, since it is smaller than the sum of its proper divisors (34714429554).

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

20320641576 is a wasteful number, since it uses less digits than its factorization.

20320641576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282231145 (or 282231138 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20320641576 in words is "twenty billion, three hundred twenty million, six hundred forty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 282231133 564462266 846693399 1128924532 1693386798 2257849064 2540080197 3386773596 5080160394 6773547192 10160320788 20320641576