Search a number
-
+
4626107745 = 3571719136403
BaseRepresentation
bin1000100111011110…
…01100110101100001
3102221101211121210220
410103233030311201
533433240421440
62043013313253
7222432160410
oct42357146541
912841747726
104626107745
111a64354246
12a91335829
1358955b77c
1431c575477
151c11ed8d0
hex113bccd61

4626107745 has 64 divisors (see below), whose sum is σ = 9428244480. Its totient is φ = 1885621248.

The previous prime is 4626107741. The next prime is 4626107749. The reversal of 4626107745 is 5477016264.

It is an interprime number because it is at equal distance from previous prime (4626107741) and next prime (4626107749).

It is not a de Polignac number, because 4626107745 - 22 = 4626107741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4626107697 and 4626107706.

It is not an unprimeable number, because it can be changed into a prime (4626107741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34287 + ... + 102116.

It is an arithmetic number, because the mean of its divisors is an integer number (147316320).

Almost surely, 24626107745 is an apocalyptic number.

It is an amenable number.

4626107745 is an abundant number, since it is smaller than the sum of its proper divisors (4802136735).

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

4626107745 is a wasteful number, since it uses less digits than its factorization.

4626107745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136454.

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4626107745 is about 68015.4963592857. The cubic root of 4626107745 is about 1666.2439332981.

The spelling of 4626107745 in words is "four billion, six hundred twenty-six million, one hundred seven thousand, seven hundred forty-five".

Divisors: 1 3 5 7 15 17 19 21 35 51 57 85 95 105 119 133 255 285 323 357 399 595 665 969 1615 1785 1995 2261 4845 6783 11305 33915 136403 409209 682015 954821 2046045 2318851 2591657 2864463 4774105 6956553 7774971 11594255 12958285 14322315 16231957 18141599 34782765 38874855 44058169 48695871 54424797 81159785 90707995 132174507 220290845 243479355 272123985 308407183 660872535 925221549 1542035915 4626107745