Search a number
-
+
5024666416 = 247118574759
BaseRepresentation
bin1001010110111111…
…00101001100110000
3110222011210111112011
410223133211030300
540242303311131
62150332012304
7235341650140
oct45337451460
913864714464
105024666416
112149325280
12b82901094
13620cb6cc3
14359482920
151e61ca0b1
hex12b7e5330

5024666416 has 80 divisors (see below), whose sum is σ = 12154222080. Its totient is φ = 1954967040.

The previous prime is 5024666377. The next prime is 5024666417. The reversal of 5024666416 is 6146664205.

It is not an unprimeable number, because it can be changed into a prime (5024666417) 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 15 ways as a sum of consecutive naturals, for example, 1053445 + ... + 1058203.

It is an arithmetic number, because the mean of its divisors is an integer number (151927776).

Almost surely, 25024666416 is an apocalyptic number.

5024666416 is a gapful number since it is divisible by the number (56) 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 5024666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077111040).

5024666416 is an abundant number, since it is smaller than the sum of its proper divisors (7129555664).

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

5024666416 is a wasteful number, since it uses less digits than its factorization.

5024666416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 5024666416 is about 70884.8814346190. The cubic root of 5024666416 is about 1712.7832671596.

The spelling of 5024666416 in words is "five billion, twenty-four million, six hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 857 1232 1714 3428 4759 5999 6856 9427 9518 11998 13712 18854 19036 23996 33313 37708 38072 47992 52349 65989 66626 75416 76144 95984 104698 131978 133252 150832 209396 263956 266504 366443 418792 527912 533008 732886 837584 1055824 1465772 2931544 4078463 5863088 8156926 16313852 28549241 32627704 44863093 57098482 65255408 89726186 114196964 179452372 228393928 314041651 358904744 456787856 628083302 717809488 1256166604 2512333208 5024666416