Search a number
-
+
36068087056 = 247926012
BaseRepresentation
bin100001100101110100…
…110101010100010000
310110002122110122221011
4201211310311110100
51042331412241211
624323000140304
72414541452521
oct414564652420
9113078418834
1036068087056
1114329549711
126ba7167694
13352a5aca61
141a622dc848
15e11710921
hex865d35510

36068087056 has 45 divisors (see below), whose sum is σ = 70895659653. Its totient is φ = 17776137600.

The previous prime is 36068087051. The next prime is 36068087059. The reversal of 36068087056 is 65078086063.

It is a happy number.

The square root of 36068087056 is 189916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30316381456 + 5751705600 = 174116^2 + 75840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36068087051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60013156 + ... + 60013756.

Almost surely, 236068087056 is an apocalyptic number.

36068087056 is the 189916-th square number.

It is an amenable number.

36068087056 is a deficient number, since it is larger than the sum of its proper divisors (34827572597).

36068087056 is an frugal number, since it uses more digits than its factorization.

36068087056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 36068087056 by its sum of digits (49), we get a square (1767336265744 = 13294122).

The spelling of 36068087056 in words is "thirty-six billion, sixty-eight million, eighty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 79 158 316 601 632 1202 1264 2404 4808 6241 9616 12482 24964 47479 49928 94958 99856 189916 361201 379832 722402 759664 1444804 2889608 3750841 5779216 7501682 15003364 28534879 30006728 57069758 60013456 114139516 228279032 456558064 2254255441 4508510882 9017021764 18034043528 36068087056