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5041041330 = 23513232512239
BaseRepresentation
bin1001011000111100…
…00010111110110010
3111000022121102200110
410230132002332302
540311001310310
62152115002150
7235631100333
oct45436027662
914008542613
105041041330
112157599a66
12b88299356
136244cb3c0
1435b70628a
151e7861d20
hex12c782fb2

5041041330 has 128 divisors (see below), whose sum is σ = 13655900160. Its totient is φ = 1181664000.

The previous prime is 5041041329. The next prime is 5041041337. The reversal of 5041041330 is 331401405.

It is a junction number, because it is equal to n+sod(n) for n = 5041041297 and 5041041306.

It is not an unprimeable number, because it can be changed into a prime (5041041337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2250351 + ... + 2252589.

It is an arithmetic number, because the mean of its divisors is an integer number (106686720).

Almost surely, 25041041330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5041041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827950080).

5041041330 is an abundant number, since it is smaller than the sum of its proper divisors (8614858830).

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

5041041330 is a wasteful number, since it uses less digits than its factorization.

5041041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5041041330 is about 71000.2910557415. The cubic root of 5041041330 is about 1714.6418493527.

Adding to 5041041330 its reverse (331401405), we get a palindrome (5372442735).

The spelling of 5041041330 in words is "five billion, forty-one million, forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 251 299 345 390 502 598 690 753 897 1255 1495 1506 1794 2239 2510 2990 3263 3765 4478 4485 5773 6526 6717 7530 8970 9789 11195 11546 13434 16315 17319 19578 22390 28865 29107 32630 33585 34638 48945 51497 57730 58214 67170 75049 86595 87321 97890 102994 145535 150098 154491 173190 174642 225147 257485 291070 308982 375245 436605 450294 514970 561989 669461 750490 772455 873210 1123978 1125735 1338922 1544910 1685967 2008383 2251470 2809945 3347305 3371934 4016766 5619890 6694610 7305857 8429835 10041915 12925747 14611714 16859670 20083830 21917571 25851494 36529285 38777241 43835142 64628735 73058570 77554482 109587855 129257470 168034711 193886205 219175710 336069422 387772410 504104133 840173555 1008208266 1680347110 2520520665 5041041330