Search a number
-
+
5069057560 = 23571392937
BaseRepresentation
bin1001011100010001…
…11010111000011000
3111002021022210201121
410232020322320120
540340134320220
62154555255024
7236421164320
oct45610727030
914067283647
105069057560
112171394a76
12b9574a474
1362a25a458
1436131a280
151ea047eaa
hex12e23ae18

5069057560 has 96 divisors (see below), whose sum is σ = 13143180960. Its totient is φ = 1723617792.

The previous prime is 5069057531. The next prime is 5069057599. The reversal of 5069057560 is 657509605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5409412 + ... + 5410348.

It is an arithmetic number, because the mean of its divisors is an integer number (136908135).

Almost surely, 25069057560 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 5069057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571590480).

5069057560 is an abundant number, since it is smaller than the sum of its proper divisors (8074123400).

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

5069057560 is a wasteful number, since it uses less digits than its factorization.

5069057560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 43.

The square root of 5069057560 is about 71197.3142751888. The cubic root of 5069057560 is about 1717.8124298583.

The spelling of 5069057560 in words is "five billion, sixty-nine million, fifty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 278 280 556 695 937 973 1112 1390 1874 1946 2780 3748 3892 4685 4865 5560 6559 7496 7784 9370 9730 13118 18740 19321 19460 26236 32795 37480 38642 38920 52472 65590 77284 96605 130243 131180 135247 154568 193210 260486 262360 270494 386420 520972 540988 651215 676235 772840 911701 1041944 1081976 1302430 1352470 1823402 2604860 2704940 3646804 4558505 5209720 5409880 7293608 9117010 18103777 18234020 36207554 36468040 72415108 90518885 126726439 144830216 181037770 253452878 362075540 506905756 633632195 724151080 1013811512 1267264390 2534528780 5069057560