Search a number
-
+
58524372992 = 212177910639
BaseRepresentation
bin110110100000010100…
…110001000000000000
312121001122221012001002
4312200110301000000
51424324214413432
642515152231132
74141200651101
oct664024610000
9177048835032
1058524372992
1122902534708
12b41383b4a8
135698b1c907
142b928d63a8
1517c7e1ee62
hexda0531000

58524372992 has 104 divisors (see below), whose sum is σ = 125499225600. Its totient is φ = 27189706752.

The previous prime is 58524372989. The next prime is 58524373001. The reversal of 58524372992 is 29927342585.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5495609 + ... + 5506247.

Almost surely, 258524372992 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 58524372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62749612800).

58524372992 is an abundant number, since it is smaller than the sum of its proper divisors (66974852608).

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

58524372992 is a wasteful number, since it uses less digits than its factorization.

58524372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10737 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 56.

The spelling of 58524372992 in words is "fifty-eight billion, five hundred twenty-four million, three hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 256 272 316 512 544 632 1024 1088 1264 1343 2048 2176 2528 2686 4096 4352 5056 5372 8704 10112 10639 10744 17408 20224 21278 21488 34816 40448 42556 42976 69632 80896 85112 85952 161792 170224 171904 180863 323584 340448 343808 361726 680896 687616 723452 840481 1361792 1375232 1446904 1680962 2723584 2750464 2893808 3361924 5447168 5500928 5787616 6723848 10894336 11575232 13447696 14288177 21788672 23150464 26895392 28576354 43577344 46300928 53790784 57152708 92601856 107581568 114305416 185203712 215163136 228610832 370407424 430326272 457221664 740814848 860652544 914443328 1721305088 1828886656 3442610176 3657773312 7315546624 14631093248 29262186496 58524372992