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5112071712 = 2532118918131
BaseRepresentation
bin1001100001011010…
…00000011000100000
3111012021021011001100
410300231000120200
540432142243322
62203133234400
7240452615106
oct46055003040
914167234040
105112071712
1121936a4160
12ba8032a00
1363613ac07
14366d15c76
151edbe2dac
hex130b40620

5112071712 has 144 divisors (see below), whose sum is σ = 16038116640. Its totient is φ = 1531622400.

The previous prime is 5112071693. The next prime is 5112071779. The reversal of 5112071712 is 2171702115.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×51120717124 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 272887 + ... + 291017.

It is an arithmetic number, because the mean of its divisors is an integer number (111375810).

Almost surely, 25112071712 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 5112071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019058320).

5112071712 is an abundant number, since it is smaller than the sum of its proper divisors (10926044928).

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

5112071712 is a wasteful number, since it uses less digits than its factorization.

5112071712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18247 (or 18236 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The square root of 5112071712 is about 71498.7532198989. The cubic root of 5112071712 is about 1722.6576581251.

Adding to 5112071712 its reverse (2171702115), we get a palindrome (7283773827).

The spelling of 5112071712 in words is "five billion, one hundred twelve million, seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 89 96 99 132 144 176 178 198 264 267 288 352 356 396 528 534 712 792 801 979 1056 1068 1424 1584 1602 1958 2136 2848 2937 3168 3204 3916 4272 5874 6408 7832 8544 8811 11748 12816 15664 17622 18131 23496 25632 31328 35244 36262 46992 54393 70488 72524 93984 108786 140976 145048 163179 199441 217572 281952 290096 326358 398882 435144 580192 598323 652716 797764 870288 1196646 1305432 1595528 1613659 1740576 1794969 2393292 2610864 3191056 3227318 3589938 4786584 4840977 5221728 6382112 6454636 7179876 9573168 9681954 12909272 14359752 14522931 17750249 19146336 19363908 25818544 28719504 29045862 35500498 38727816 51637088 53250747 57439008 58091724 71000996 77455632 106501494 116183448 142001992 154911264 159752241 213002988 232366896 284003984 319504482 426005976 464733792 568007968 639008964 852011952 1278017928 1704023904 2556035856 5112071712