Search a number
-
+
5105026377 = 351161131239
BaseRepresentation
bin1001100000100100…
…01000010101001001
3111011210000012200000
410300102020111021
540423341321002
62202322233213
7240336002553
oct46022102511
914153005600
105105026377
11218a721970
12ba57b5809
13634842189
143660004d3
151ed2a061c
hex130488549

5105026377 has 96 divisors (see below), whose sum is σ = 8579450880. Its totient is φ = 3007368000.

The previous prime is 5105026361. The next prime is 5105026391. The reversal of 5105026377 is 7736205015.

5105026377 is a `hidden beast` number, since 5 + 10 + 5 + 0 + 2 + 637 + 7 = 666.

It is not a de Polignac number, because 5105026377 - 24 = 5105026361 is a prime.

It is a super-2 number, since 2×51050263772 = 52122588619731492258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5105026327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21359824 + ... + 21360062.

It is an arithmetic number, because the mean of its divisors is an integer number (89369280).

Almost surely, 25105026377 is an apocalyptic number.

It is an amenable number.

5105026377 is a deficient number, since it is larger than the sum of its proper divisors (3474424503).

5105026377 is a wasteful number, since it uses less digits than its factorization.

5105026377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5105026377 is about 71449.4672968245. The cubic root of 5105026377 is about 1721.8659190969.

The spelling of 5105026377 in words is "five billion, one hundred five million, twenty-six thousand, three hundred seventy-seven".

Divisors: 1 3 9 11 27 33 61 81 99 131 183 239 243 297 393 549 671 717 891 1179 1441 1647 2013 2151 2629 2673 3537 4323 4941 6039 6453 7887 7991 10611 12969 14579 14823 18117 19359 23661 23973 31309 31833 38907 43737 54351 58077 70983 71919 87901 93927 116721 131211 160369 163053 212949 215757 263703 281781 344399 350163 393633 481107 638847 647271 791109 845343 1033197 1180899 1443321 1909849 1941813 2373327 2536029 3099591 3542697 4329963 5729547 7119981 7608087 9298773 12989889 17188641 21008339 21359943 27896319 38969667 51565923 63025017 83688957 154697769 189075051 464093307 567225153 1701675459 5105026377