Search a number
-
+
5025011420 = 22511213211757
BaseRepresentation
bin1001010111000001…
…11001011011011100
3110222012110000210002
410223200321123130
540242400331140
62150343233432
7235344615032
oct45340713334
913865400702
105025011420
112149540500
12b82a48878
136210a8050
14359532552
151e6247415
hex12b8396dc

5025011420 has 144 divisors (see below), whose sum is σ = 12567069984. Its totient is φ = 1676505600.

The previous prime is 5025011417. The next prime is 5025011471. The reversal of 5025011420 is 241105205.

5025011420 = 1502 + 1512 + ... + 24702.

It is a super-2 number, since 2×50250114202 = 50501479542260832800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5025011392 and 5025011401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6637682 + ... + 6638438.

Almost surely, 25025011420 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 5025011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283534992).

5025011420 is an abundant number, since it is smaller than the sum of its proper divisors (7542058564).

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

5025011420 is a wasteful number, since it uses less digits than its factorization.

5025011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5025011420 is about 70887.3149442127. The cubic root of 5025011420 is about 1712.8224673442.

Adding to 5025011420 its reverse (241105205), we get a palindrome (5266116625).

The spelling of 5025011420 in words is "five billion, twenty-five million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 211 220 242 260 286 422 484 572 605 715 757 844 1055 1210 1430 1514 1573 2110 2321 2420 2743 2860 3028 3146 3785 4220 4642 5486 6292 7570 7865 8327 9284 9841 10972 11605 13715 15140 15730 16654 19682 23210 25531 27430 30173 31460 33308 39364 41635 46420 49205 51062 54860 60346 83270 91597 98410 102124 108251 120692 127655 150865 159727 166540 183194 196820 216502 255310 301730 319454 331903 366388 433004 457985 510620 541255 603460 638908 663806 798635 915970 1082510 1190761 1327612 1597270 1659515 1756997 1831940 2076451 2165020 2381522 3194540 3319030 3513994 4152902 4763044 5953805 6638060 7027988 8305804 8784985 10382255 11907610 17569970 19326967 20764510 22840961 23815220 35139940 38653934 41529020 45681922 77307868 91363844 96634835 114204805 193269670 228409610 251250571 386539340 456819220 502501142 1005002284 1256252855 2512505710 5025011420