Search a number
-
+
45344295364 = 2217262632
BaseRepresentation
bin101010001110101110…
…110000100111000100
311100001010021212111211
4222032232300213010
51220331114422424
632455245341204
73163450102564
oct521656604704
9140033255454
1045344295364
1118259744275
128955867804
13437834a904
1422a2292da4
1512a5c9bb94
hexa8ebb09c4

45344295364 has 27 divisors (see below), whose sum is σ = 84308349517. Its totient is φ = 21335084864.

The previous prime is 45344295301. The next prime is 45344295377. The reversal of 45344295364 is 46359244354.

The square root of 45344295364 is 212942.

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., 35302652100 + 10041643264 = 187890^2 + 100208^2 .

It is a super-2 number, since 2×453442953642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7236897 + ... + 7243159.

Almost surely, 245344295364 is an apocalyptic number.

45344295364 is the 212942-nd square number.

It is an amenable number.

45344295364 is a deficient number, since it is larger than the sum of its proper divisors (38964054153).

45344295364 is an frugal number, since it uses more digits than its factorization.

45344295364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12564 (or 6282 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 49.

Multiplying 45344295364 by its sum of digits (49), we get a square (2221870472836 = 14905942).

The spelling of 45344295364 in words is "forty-five billion, three hundred forty-four million, two hundred ninety-five thousand, three hundred sixty-four".

Divisors: 1 2 4 17 34 68 289 578 1156 6263 12526 25052 106471 212942 425884 1810007 3620014 7240028 39225169 78450338 156900676 666827873 1333655746 2667311492 11336073841 22672147682 45344295364