Search a number
-
+
5041001004 = 22313413732113
BaseRepresentation
bin1001011000111011…
…11001001000101100
3111000022112101100220
410230131321020230
540310444013004
62152114051340
7235630541634
oct45435711054
914008471326
105041001004
112157571736
12b88279b50
136244b5c40
1435b6d56c4
151e7854dd9
hex12c77922c

5041001004 has 96 divisors (see below), whose sum is σ = 13017031104. Its totient is φ = 1508474880.

The previous prime is 5041001003. The next prime is 5041001023. The reversal of 5041001004 is 4001001405.

It is a super-2 number, since 2×50410010042 = 50823382244658016032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5041001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2384652 + ... + 2386764.

It is an arithmetic number, because the mean of its divisors is an integer number (135594074).

Almost surely, 25041001004 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 5041001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508515552).

5041001004 is an abundant number, since it is smaller than the sum of its proper divisors (7976030100).

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

5041001004 is a wasteful number, since it uses less digits than its factorization.

5041001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5041001004 is about 71000.0070704222. The cubic root of 5041001004 is about 1714.6372772265.

Adding to 5041001004 its reverse (4001001405), we get a palindrome (9042002409).

The spelling of 5041001004 in words is "five billion, forty-one million, one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 373 492 533 746 1066 1119 1492 1599 2113 2132 2238 3198 4226 4476 4849 6339 6396 8452 9698 12678 14547 15293 19396 25356 27469 29094 30586 45879 54938 58188 61172 82407 86633 91758 109876 164814 173266 183516 198809 259899 329628 346532 397618 519798 596427 788149 795236 1039596 1126229 1192854 1576298 2252458 2364447 2385708 3152596 3378687 4504916 4728894 6757374 9457788 10245937 13514748 20491874 30737811 32314109 40983748 61475622 64628218 96942327 122951244 129256436 193884654 387769308 420083417 840166834 1260250251 1680333668 2520500502 5041001004