Search a number
-
+
5003145072 = 2432711034751
BaseRepresentation
bin1001010100011010…
…11110111101110000
3110220200022002210100
410222031132331300
540221301120242
62144242432400
7234661013532
oct45215367560
913820262710
105003145072
112138165a42
12b77662700
136196c0293
1435667d852
151e437854c
hex12a35ef70

5003145072 has 120 divisors (see below), whose sum is σ = 14339939328. Its totient is φ = 1627920000.

The previous prime is 5003145053. The next prime is 5003145079. The reversal of 5003145072 is 2705413005.

It is a happy number.

It is a super-2 number, since 2×50031450722 = 50062921222955770368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003145079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050697 + ... + 1055447.

Almost surely, 25003145072 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 5003145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169969664).

5003145072 is an abundant number, since it is smaller than the sum of its proper divisors (9336794256).

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

5003145072 is a wasteful number, since it uses less digits than its factorization.

5003145072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5003145072 is about 70732.9136399739. The cubic root of 5003145072 is about 1710.3344046935.

Adding to 5003145072 its reverse (2705413005), we get a palindrome (7708558077).

The spelling of 5003145072 in words is "five billion, three million, one hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 103 142 144 206 213 284 309 412 426 568 618 639 824 852 927 1136 1236 1278 1648 1704 1854 2472 2556 3408 3708 4751 4944 5112 7313 7416 9502 10224 14253 14626 14832 19004 21939 28506 29252 38008 42759 43878 57012 58504 65817 76016 85518 87756 114024 117008 131634 171036 175512 228048 263268 337321 342072 351024 489353 526536 674642 684144 978706 1011963 1053072 1349284 1468059 1957412 2023926 2698568 2936118 3035889 3914824 4047852 4404177 5397136 5872236 6071778 7829648 8095704 8808354 11744472 12143556 16191408 17616708 23488944 24287112 34744063 35233416 48574224 69488126 70466832 104232189 138976252 208464378 277952504 312696567 416928756 555905008 625393134 833857512 1250786268 1667715024 2501572536 5003145072