Search a number
-
+
5038663968 = 253413149533
BaseRepresentation
bin1001011000101001…
…11110100100100000
3111000011010122120000
410230110332210200
540304344221333
62151552020000
7235601636262
oct45424764440
914004118500
105038663968
1121562158a8
12b87531600
13623b78290
1435b287b32
151e7542713
hex12c53e920

5038663968 has 120 divisors (see below), whose sum is σ = 15958567548. Its totient is φ = 1550347776.

The previous prime is 5038663967. The next prime is 5038663997. The reversal of 5038663968 is 8693668305.

It can be written as a sum of positive squares in 2 ways, for example, as 5014339344 + 24324624 = 70812^2 + 4932^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5038663967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41071 + ... + 108462.

Almost surely, 25038663968 is an apocalyptic number.

It is an amenable number.

5038663968 is an abundant number, since it is smaller than the sum of its proper divisors (10919903580).

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

5038663968 is a wasteful number, since it uses less digits than its factorization.

5038663968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149568 (or 149551 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 5038663968 is about 70983.5471641140. The cubic root of 5038663968 is about 1714.3722644874.

The spelling of 5038663968 in words is "five billion, thirty-eight million, six hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 149533 299066 448599 598132 897198 1196264 1345797 1794396 1943929 2392528 2691594 3588792 3887858 4037391 4785056 5383188 5831787 7177584 7775716 8074782 10766376 11663574 12112173 14355168 15551432 16149564 17495361 21532752 23327148 24224346 31102864 32299128 34990722 43065504 46654296 48448692 52486083 62205728 64598256 69981444 93308592 96897384 104972166 129196512 139962888 157458249 186617184 193794768 209944332 279925776 314916498 387589536 419888664 559851552 629832996 839777328 1259665992 1679554656 2519331984 5038663968