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5133801288 = 2337119712861
BaseRepresentation
bin1001100011111111…
…11001011101001000
3111020210011010102110
410301333321131020
541003223120123
62205231102320
7241135406460
oct46177713510
914223133373
105133801288
1121a4995990
12bb33719a0
1363a7a8655
14369b70ba0
15200a86493
hex131ff9748

5133801288 has 128 divisors (see below), whose sum is σ = 16023536640. Its totient is φ = 1331616000.

The previous prime is 5133801269. The next prime is 5133801289. The reversal of 5133801288 is 8821083315.

It is not an unprimeable number, because it can be changed into a prime (5133801289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792978 + ... + 1795838.

It is an arithmetic number, because the mean of its divisors is an integer number (125183880).

Almost surely, 25133801288 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 5133801288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011768320).

5133801288 is an abundant number, since it is smaller than the sum of its proper divisors (10889735352).

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

5133801288 is a wasteful number, since it uses less digits than its factorization.

5133801288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 5133801288 is about 71650.5498094746. The cubic root of 5133801288 is about 1725.0950070756.

The spelling of 5133801288 in words is "five billion, one hundred thirty-three million, eight hundred one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 971 1848 1942 2861 2913 3884 5722 5826 6797 7768 8583 10681 11444 11652 13594 17166 20027 20391 21362 22888 23304 27188 31471 32043 34332 40054 40782 42724 54376 60081 62942 64086 68664 74767 80108 81564 85448 94413 120162 125884 128172 149534 160216 163128 188826 220297 224301 240324 251768 256344 299068 377652 440594 448602 480648 598136 660891 755304 881188 897204 1321782 1762376 1794408 2643564 2778031 5287128 5556062 8334093 11112124 16668186 19446217 22224248 30558341 33336372 38892434 58338651 61116682 66672744 77784868 91675023 116677302 122233364 155569736 183350046 213908387 233354604 244466728 366700092 427816774 466709208 641725161 733400184 855633548 1283450322 1711267096 2566900644 5133801288