Search a number
-
+
20655105672 = 23317229221071
BaseRepresentation
bin10011001111001000…
…111110011010001000
31222022111020002021210
4103033020332122020
5314300201340142
613253330333120
71330565333655
oct231710763210
958274202253
1020655105672
11883a2a5673
12400542a1a0
131c42328826
14ddd2d4c2c
1580d52149c
hex4cf23e688

20655105672 has 64 divisors (see below), whose sum is σ = 54914284800. Its totient is φ = 6451706880.

The previous prime is 20655105641. The next prime is 20655105673. The reversal of 20655105672 is 27650155602.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20655105672.

It is not an unprimeable number, because it can be changed into a prime (20655105673) 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 15 ways as a sum of consecutive naturals, for example, 17104 + ... + 203967.

It is an arithmetic number, because the mean of its divisors is an integer number (858035700).

Almost surely, 220655105672 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 20655105672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27457142400).

20655105672 is an abundant number, since it is smaller than the sum of its proper divisors (34259179128).

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

20655105672 is a wasteful number, since it uses less digits than its factorization.

20655105672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221326 (or 221322 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 20655105672 in words is "twenty billion, six hundred fifty-five million, one hundred five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 229 408 458 687 916 1374 1832 2748 3893 5496 7786 11679 15572 23358 31144 46716 93432 221071 442142 663213 884284 1326426 1768568 2652852 3758207 5305704 7516414 11274621 15032828 22549242 30065656 45098484 50625259 90196968 101250518 151875777 202501036 303751554 405002072 607503108 860629403 1215006216 1721258806 2581888209 3442517612 5163776418 6885035224 10327552836 20655105672