Search a number
-
+
45444923584 = 2643107157983
BaseRepresentation
bin101010010100101110…
…101000000011000000
311100022010122022110221
4222110232220003000
51221032400023314
632513242232424
73166111322404
oct522456500300
9140263568427
1045444923584
1118300524795
1289834b5714
134393151338
1422b17a9104
1512aea27824
hexa94ba80c0

45444923584 has 112 divisors (see below), whose sum is σ = 93827973888. Its totient is φ = 21824345088.

The previous prime is 45444923533. The next prime is 45444923603. The reversal of 45444923584 is 48532944454.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46230357 + ... + 46231339.

Almost surely, 245444923584 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 45444923584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46913986944).

45444923584 is an abundant number, since it is smaller than the sum of its proper divisors (48383050304).

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

45444923584 is a wasteful number, since it uses less digits than its factorization.

45444923584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 52.

The spelling of 45444923584 in words is "forty-five billion, four hundred forty-four million, nine hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 64 86 107 157 172 214 314 344 428 628 688 856 983 1256 1376 1712 1966 2512 2752 3424 3932 4601 5024 6751 6848 7864 9202 10048 13502 15728 16799 18404 27004 31456 33598 36808 42269 54008 62912 67196 73616 84538 105181 108016 134392 147232 154331 169076 210362 216032 268784 294464 308662 338152 420724 432064 537568 617324 676304 722357 841448 1075136 1234648 1352608 1444714 1682896 2469296 2705216 2889428 3365792 4522783 4938592 5778856 6636233 6731584 9045566 9877184 11557712 13272466 16513417 18091132 23115424 26544932 33026834 36182264 46230848 53089864 66053668 72364528 106179728 132107336 144729056 212359456 264214672 289458112 424718912 528429344 710076931 1056858688 1420153862 2840307724 5680615448 11361230896 22722461792 45444923584