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5117425680 = 2435175472293
BaseRepresentation
bin1001100010000010…
…11011100000010000
3111012122100011022110
410301001123200100
540440030110210
62203444105320
7240546254253
oct46101334020
914178304273
105117425680
112196720724
12ba9995240
13637293b43
1436790b09a
151ee3ee420
hex13105b810

5117425680 has 160 divisors (see below), whose sum is σ = 16835243904. Its totient is φ = 1281466368.

The previous prime is 5117425669. The next prime is 5117425717. The reversal of 5117425680 is 865247115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2230614 + ... + 2232906.

Almost surely, 25117425680 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 5117425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417621952).

5117425680 is an abundant number, since it is smaller than the sum of its proper divisors (11717818224).

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

5117425680 is a wasteful number, since it uses less digits than its factorization.

5117425680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5117425680 is about 71536.1844104087. The cubic root of 5117425680 is about 1723.2588387907.

The spelling of 5117425680 in words is "five billion, one hundred seventeen million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 547 680 816 1020 1094 1360 1641 2040 2188 2293 2735 3282 4080 4376 4586 5470 6564 6879 8205 8752 9172 9299 10940 11465 13128 13758 16410 18344 18598 21880 22930 26256 27516 27897 32820 34395 36688 37196 38981 43760 45860 46495 55032 55794 65640 68790 74392 77962 91720 92990 110064 111588 116943 131280 137580 139485 148784 155924 183440 185980 194905 223176 233886 275160 278970 311848 371960 389810 446352 467772 550320 557940 584715 623696 743920 779620 935544 1115880 1169430 1254271 1559240 1871088 2231760 2338860 2508542 3118480 3762813 4677720 5017084 6271355 7525626 9355440 10034168 12542710 15051252 18814065 20068336 21322607 25085420 30102504 37628130 42645214 50170840 60205008 63967821 75256260 85290428 100341680 106613035 127935642 150512520 170580856 213226070 255871284 301025040 319839105 341161712 426452140 511742568 639678210 852904280 1023485136 1279356420 1705808560 2558712840 5117425680