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13152790764 = 223223471372467
BaseRepresentation
bin11000011111111011…
…11010100011101100
31020221122021222222200
430033331322203230
5203414103301024
610013045541500
7643636606521
oct141775724354
936848258880
1013152790764
11563a453413
122670a14890
131317c39c39
148cab7d148
1551ea832c9
hex30ff7a8ec

13152790764 has 144 divisors (see below), whose sum is σ = 35704101888. Its totient is φ = 4072806144.

The previous prime is 13152790699. The next prime is 13152790771. The reversal of 13152790764 is 46709725131.

13152790764 is a `hidden beast` number, since 1 + 31 + 527 + 90 + 7 + 6 + 4 = 666.

13152790764 is a modest number, since divided by 790764 gives 13152 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5330259 + ... + 5332725.

It is an arithmetic number, because the mean of its divisors is an integer number (247945152).

Almost surely, 213152790764 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 13152790764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17852050944).

13152790764 is an abundant number, since it is smaller than the sum of its proper divisors (22551311124).

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

13152790764 is a wasteful number, since it uses less digits than its factorization.

13152790764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13152790764 in words is "thirteen billion, one hundred fifty-two million, seven hundred ninety thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 137 138 141 188 207 274 276 282 411 414 423 548 564 822 828 846 1081 1233 1644 1692 2162 2466 2467 3151 3243 4324 4932 4934 6302 6439 6486 7401 9453 9729 9868 12604 12878 12972 14802 18906 19317 19458 22203 25756 28359 29604 37812 38634 38916 44406 56718 56741 57951 77268 88812 113436 113482 115902 115949 148097 170223 226964 231804 231898 296194 337979 340446 347847 444291 463796 510669 592388 675958 680892 695694 888582 1013937 1021338 1043541 1332873 1351916 1391388 1777164 2027874 2042676 2087082 2665746 2666827 3041811 4055748 4174164 5331492 5333654 6083622 7773517 8000481 10667308 12167244 15547034 15885013 16000962 23320551 24001443 31094068 31770026 32001924 46641102 47655039 48002886 63540052 69961653 93282204 95310078 96005772 139923306 142965117 190620156 279846612 285930234 365355299 571860468 730710598 1096065897 1461421196 2192131794 3288197691 4384263588 6576395382 13152790764