Search a number
-
+
5010708300 = 22352134329879
BaseRepresentation
bin1001010101010100…
…10101011101001100
3110221012112100120220
410222222111131030
540230220131200
62145112511340
7235112214003
oct45252253514
913835470526
105010708300
112141461344
12b7a0ab550
1361b13a970
1435768bc3a
151e4d6e4a0
hex12aa9574c

5010708300 has 144 divisors (see below), whose sum is σ = 15976477440. Its totient is φ = 1204680960.

The previous prime is 5010708293. The next prime is 5010708301. The reversal of 5010708300 is 38070105.

It is not an unprimeable number, because it can be changed into a prime (5010708301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152761 + ... + 182639.

It is an arithmetic number, because the mean of its divisors is an integer number (110947760).

Almost surely, 25010708300 is an apocalyptic number.

5010708300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010708300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988238720).

5010708300 is an abundant number, since it is smaller than the sum of its proper divisors (10965769140).

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

5010708300 is a wasteful number, since it uses less digits than its factorization.

5010708300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29952 (or 29945 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5010708300 is about 70786.3567363090. The cubic root of 5010708300 is about 1711.1958052786.

Adding to 5010708300 its reverse (38070105), we get a palindrome (5048778405).

The spelling of 5010708300 in words is "five billion, ten million, seven hundred eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 43 50 52 60 65 75 78 86 100 129 130 150 156 172 195 215 258 260 300 325 390 430 516 559 645 650 780 860 975 1075 1118 1290 1300 1677 1950 2150 2236 2580 2795 3225 3354 3900 4300 5590 6450 6708 8385 11180 12900 13975 16770 27950 29879 33540 41925 55900 59758 83850 89637 119516 149395 167700 179274 298790 358548 388427 448185 597580 746975 776854 896370 1165281 1284797 1493950 1553708 1792740 1942135 2240925 2330562 2569594 2987900 3854391 3884270 4481850 4661124 5139188 5826405 6423985 7708782 7768540 8963700 9710675 11652810 12847970 15417564 16702361 19271955 19421350 23305620 25695940 29132025 32119925 33404722 38543910 38842700 50107083 58264050 64239850 66809444 77087820 83511805 96359775 100214166 116528100 128479700 167023610 192719550 200428332 250535415 334047220 385439100 417559025 501070830 835118050 1002141660 1252677075 1670236100 2505354150 5010708300