Search a number
-
+
7106499072 = 293213711257
BaseRepresentation
bin1101001111001010…
…01001001000000000
3200100021010120001100
412213211021020000
5104023230432242
63133100534400
7341051150121
oct64745111000
920307116040
107106499072
113017484a32
121463b51400
138933b394a
144b5b60048
152b8d5454c
hex1a7949200

7106499072 has 120 divisors (see below), whose sum is σ = 20661379596. Its totient is φ = 2351333376.

The previous prime is 7106499031. The next prime is 7106499089. The reversal of 7106499072 is 2709946017.

It can be written as a sum of positive squares in 2 ways, for example, as 6713508096 + 392990976 = 81936^2 + 19824^2 .

It is a super-2 number, since 2×71064990722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625668 + ... + 636924.

Almost surely, 27106499072 is an apocalyptic number.

7106499072 is a gapful number since it is divisible by the number (72) 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 7106499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330689798).

7106499072 is an abundant number, since it is smaller than the sum of its proper divisors (13554880524).

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

7106499072 is a wasteful number, since it uses less digits than its factorization.

7106499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 7106499072 is about 84300.0538078120. The cubic root of 7106499072 is about 1922.5836052032.

The spelling of 7106499072 in words is "seven billion, one hundred six million, four hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1096 1152 1233 1536 1644 2192 2304 2466 3288 4384 4608 4932 6576 8768 9864 11257 13152 17536 19728 22514 26304 33771 35072 39456 45028 52608 67542 70144 78912 90056 101313 105216 135084 157824 180112 202626 210432 270168 315648 360224 405252 540336 631296 720448 810504 1080672 1440896 1542209 1621008 2161344 2881792 3084418 3242016 4322688 4626627 5763584 6168836 6484032 8645376 9253254 12337672 12968064 13879881 17290752 18506508 24675344 25936128 27759762 37013016 49350688 51872256 55519524 74026032 98701376 111039048 148052064 197402752 222078096 296104128 394805504 444156192 592208256 789611008 888312384 1184416512 1776624768 2368833024 3553249536 7106499072