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5120718444 = 22321761731879
BaseRepresentation
bin1001100010011011…
…11111011001101100
3111012212112110010200
410301031333121230
540441400442234
62204042433500
7240616250202
oct46115773154
914185473120
105120718444
11219856a616
12baab02890
13637b7781a
14368127072
151ee84ed99
hex13137f66c

5120718444 has 144 divisors (see below), whose sum is σ = 14128470720. Its totient is φ = 1557688320.

The previous prime is 5120718433. The next prime is 5120718487. The reversal of 5120718444 is 4448170215.

It is a happy number.

5120718444 is a `hidden beast` number, since 5 + 1 + 207 + 1 + 8 + 444 = 666.

It is a super-2 number, since 2×51207184442 = 52443514765443562272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5120718399 and 5120718408.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2724297 + ... + 2726175.

It is an arithmetic number, because the mean of its divisors is an integer number (98114380).

Almost surely, 25120718444 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 5120718444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064235360).

5120718444 is an abundant number, since it is smaller than the sum of its proper divisors (9007752276).

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

5120718444 is a wasteful number, since it uses less digits than its factorization.

5120718444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5120718444 is about 71559.1953839617. The cubic root of 5120718444 is about 1723.6283649570.

Adding to 5120718444 its reverse (4448170215), we get a palindrome (9568888659).

The spelling of 5120718444 in words is "five billion, one hundred twenty million, seven hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 73 102 122 146 153 183 204 219 244 292 306 366 438 549 612 657 732 876 1037 1098 1241 1314 1879 2074 2196 2482 2628 3111 3723 3758 4148 4453 4964 5637 6222 7446 7516 8906 9333 11169 11274 12444 13359 14892 16911 17812 18666 22338 22548 26718 31943 33822 37332 40077 44676 53436 63886 67644 75701 80154 95829 114619 127772 137167 151402 160308 191658 227103 229238 274334 287487 302804 343857 383316 411501 454206 458476 548668 574974 681309 687714 823002 908412 1031571 1149948 1234503 1362618 1375428 1646004 1948523 2063142 2331839 2469006 2725236 3897046 4126284 4663678 4938012 5845569 6995517 7794092 8367187 9327356 11691138 13991034 16734374 17536707 20986551 23382276 25101561 27982068 33468748 35073414 41973102 50203122 70146828 75304683 83946204 100406244 142242179 150609366 284484358 301218732 426726537 568968716 853453074 1280179611 1706906148 2560359222 5120718444