Search a number
-
+
45933211328 = 2637109317747
BaseRepresentation
bin101010110001110101…
…010010111011000000
311101120011102220100012
4222301311102323000
51223032400230303
633033524044052
73214160566004
oct526165227300
9141504386305
1045933211328
1118531111584
128a9ab33628
1344403653b4
14231a592704
1512dc82a5d8
hexab1d52ec0

45933211328 has 56 divisors (see below), whose sum is σ = 93703121712. Its totient is φ = 22324184064.

The previous prime is 45933211327. The next prime is 45933211333. The reversal of 45933211328 is 82311233954.

It is not an unprimeable number, because it can be changed into a prime (45933211321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2579351 + ... + 2597097.

Almost surely, 245933211328 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 45933211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46851560856).

45933211328 is an abundant number, since it is smaller than the sum of its proper divisors (47769910384).

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

45933211328 is a wasteful number, since it uses less digits than its factorization.

45933211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18889 (or 18879 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The spelling of 45933211328 in words is "forty-five billion, nine hundred thirty-three million, two hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1093 1184 2186 2368 4372 8744 17488 17747 34976 35494 40441 69952 70988 80882 141976 161764 283952 323528 567904 647056 656639 1135808 1294112 1313278 2588224 2626556 5253112 10506224 19397471 21012448 38794942 42024896 77589884 155179768 310359536 620719072 717706427 1241438144 1435412854 2870825708 5741651416 11483302832 22966605664 45933211328