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4966021224 = 233461731721
BaseRepresentation
bin1001001111111111…
…10111100001101000
3110211002110000110000
410213333313201220
540132300134344
62140435023000
7234030324663
oct44777674150
913732400400
104966021224
11211920a27a
12b6713aa60
13611ac28c8
143517786da
151e0e93a69
hex127ff7868

4966021224 has 160 divisors (see below), whose sum is σ = 14339472840. Its totient is φ = 1604966400.

The previous prime is 4966021187. The next prime is 4966021253. The reversal of 4966021224 is 4221206694.

4966021224 is a `hidden beast` number, since 49 + 6 + 602 + 1 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3668724900 + 1297296324 = 60570^2 + 36018^2 .

It is a super-2 number, since 2×49660212242 = 49322733594436916352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2884684 + ... + 2886404.

Almost surely, 24966021224 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 4966021224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169736420).

4966021224 is an abundant number, since it is smaller than the sum of its proper divisors (9373451616).

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

4966021224 is a wasteful number, since it uses less digits than its factorization.

4966021224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4966021224 is about 70470.0022988505. The cubic root of 4966021224 is about 1706.0936129098.

The spelling of 4966021224 in words is "four billion, nine hundred sixty-six million, twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 73 81 108 122 146 162 183 216 219 244 292 324 366 438 488 549 584 648 657 732 876 1098 1314 1464 1647 1721 1752 1971 2196 2628 3294 3442 3942 4392 4453 4941 5163 5256 5913 6588 6884 7884 8906 9882 10326 11826 13176 13359 13768 15489 15768 17812 19764 20652 23652 26718 30978 35624 39528 40077 41304 46467 47304 53436 61956 80154 92934 104981 106872 120231 123912 125633 139401 160308 185868 209962 240462 251266 278802 314943 320616 360693 371736 376899 419924 480924 502532 557604 629886 721386 753798 839848 944829 961848 1005064 1115208 1130697 1259772 1442772 1507596 1889658 2261394 2519544 2834487 2885544 3015192 3392091 3779316 4522788 5668974 6784182 7558632 7663613 8503461 9045576 10176273 11337948 13568364 15327226 17006922 20352546 22675896 22990839 27136728 30654452 34013844 40705092 45981678 61308904 68027688 68972517 81410184 91963356 137945034 183926712 206917551 275890068 413835102 551780136 620752653 827670204 1241505306 1655340408 2483010612 4966021224