Search a number
-
+
52545666756 = 223112115473449
BaseRepresentation
bin110000111011111101…
…110011111011000100
312000121222221102220210
4300323331303323010
51330103142314011
640050015555420
73540062540502
oct607375637304
9160558842823
1052545666756
1120314728180
12a22552bb70
134c5529b10b
14278686b672
1515780e16a6
hexc3bf73ec4

52545666756 has 96 divisors (see below), whose sum is σ = 134671219200. Its totient is φ = 15813907200.

The previous prime is 52545666751. The next prime is 52545666757. The reversal of 52545666756 is 65766654525.

It is a happy number.

It is a super-2 number, since 2×525456667562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52545666696 and 52545666705.

It is not an unprimeable number, because it can be changed into a prime (52545666751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15233320 + ... + 15236768.

It is an arithmetic number, because the mean of its divisors is an integer number (1402825200).

Almost surely, 252545666756 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 52545666756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67335609600).

52545666756 is an abundant number, since it is smaller than the sum of its proper divisors (82125552444).

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

52545666756 is a wasteful number, since it uses less digits than its factorization.

52545666756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4223 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 57.

The spelling of 52545666756 in words is "fifty-two billion, five hundred forty-five million, six hundred sixty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 422 547 633 844 1094 1266 1641 2188 2321 2532 3282 3449 4642 6017 6564 6898 6963 9284 10347 12034 13796 13926 18051 20694 24068 27852 36102 37939 41388 72204 75878 113817 115417 151756 227634 230834 346251 455268 461668 692502 727739 1269587 1385004 1455478 1886603 2183217 2539174 2910956 3773206 3808761 4366434 5078348 5659809 7546412 7617522 8005129 8732868 11319618 15235044 16010258 20752633 22639236 24015387 32020516 41505266 48030774 62257899 83010532 96061548 124515798 249031596 398073233 796146466 1194219699 1592292932 2388439398 4378805563 4776878796 8757611126 13136416689 17515222252 26272833378 52545666756