Search a number
-
+
4066051300 = 2252192163691
BaseRepresentation
bin1111001001011011…
…0000010011100100
3101111100222210210121
43302112300103210
531311402120200
61511245331324
7202521602653
oct36226602344
911440883717
104066051300
1117a71a8583
12955866b44
134ca509b1c
142a802919a
1518be70e1a
hexf25b04e4

4066051300 has 108 divisors (see below), whose sum is σ = 9382847376. Its totient is φ = 1529150400.

The previous prime is 4066051289. The next prime is 4066051321. The reversal of 4066051300 is 31506604.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5883955 + ... + 5884645.

Almost surely, 24066051300 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 4066051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691423688).

4066051300 is an abundant number, since it is smaller than the sum of its proper divisors (5316796076).

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

4066051300 is a wasteful number, since it uses less digits than its factorization.

4066051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 4066051300 is about 63765.5965235173. The cubic root of 4066051300 is about 1596.0908867365.

Adding to 4066051300 its reverse (31506604), we get a palindrome (4097557904).

The spelling of 4066051300 in words is "four billion, sixty-six million, fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 163 190 326 361 380 475 652 691 722 815 950 1382 1444 1630 1805 1900 2764 3097 3260 3455 3610 4075 6194 6910 7220 8150 9025 12388 13129 13820 15485 16300 17275 18050 26258 30970 34550 36100 52516 58843 61940 65645 69100 77425 112633 117686 131290 154850 225266 235372 249451 262580 294215 309700 328225 450532 498902 563165 588430 656450 997804 1126330 1176860 1247255 1312900 1471075 2140027 2252660 2494510 2815825 2942150 4280054 4989020 5631650 5884300 6236275 8560108 10700135 11263300 12472550 21400270 24945100 40660513 42800540 53500675 81321026 107001350 162642052 203302565 214002700 406605130 813210260 1016512825 2033025650 4066051300