Search a number
-
+
55729504260 = 22325309608357
BaseRepresentation
bin110011111001101111…
…001100000000000100
312022211212220010220100
4303321233030000010
51403113223114020
641333552404100
74012012653543
oct637157140004
9168755803810
1055729504260
11216a8941441
12a973846630
135341a9b131
1429a964a15a
1516b289aa90
hexcf9bcc004

55729504260 has 36 divisors (see below), whose sum is σ = 169046163468. Its totient is φ = 14861201088.

The previous prime is 55729504249. The next prime is 55729504267. The reversal of 55729504260 is 6240592755.

55729504260 is a `hidden beast` number, since 5 + 572 + 9 + 50 + 4 + 26 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39439576836 + 16289927424 = 198594^2 + 127632^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55729504267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154803999 + ... + 154804358.

It is an arithmetic number, because the mean of its divisors is an integer number (4695726763).

Almost surely, 255729504260 is an apocalyptic number.

It is an amenable number.

55729504260 is an abundant number, since it is smaller than the sum of its proper divisors (113316659208).

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

55729504260 is a wasteful number, since it uses less digits than its factorization.

55729504260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309608372 (or 309608367 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55729504260 in words is "fifty-five billion, seven hundred twenty-nine million, five hundred four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 309608357 619216714 928825071 1238433428 1548041785 1857650142 2786475213 3096083570 3715300284 4644125355 5572950426 6192167140 9288250710 11145900852 13932376065 18576501420 27864752130 55729504260