Search a number
-
+
5642123872 = 257111926343
BaseRepresentation
bin1010100000100101…
…11111101001100000
3112120012122120220211
411100102333221200
543023340430442
62331510143504
7256550155510
oct52022775140
915505576824
105642123872
1124359171a0
121115651b94
136bbbb5948
143b7491840
152304e5617
hex1504bfa60

5642123872 has 144 divisors (see below), whose sum is σ = 14618403072. Its totient is φ = 2082205440.

The previous prime is 5642123867. The next prime is 5642123923. The reversal of 5642123872 is 2783212465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886333 + ... + 892675.

It is an arithmetic number, because the mean of its divisors is an integer number (101516688).

Almost surely, 25642123872 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 5642123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309201536).

5642123872 is an abundant number, since it is smaller than the sum of its proper divisors (8976279200).

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

5642123872 is a wasteful number, since it uses less digits than its factorization.

5642123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6382 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 5642123872 is about 75114.0723965889. The cubic root of 5642123872 is about 1780.2494991763.

The spelling of 5642123872 in words is "five billion, six hundred forty-two million, one hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 361 418 532 608 616 722 836 1064 1232 1444 1463 1672 2128 2464 2527 2888 2926 3344 3971 4256 5054 5776 5852 6343 6688 7942 10108 11552 11704 12686 15884 20216 23408 25372 27797 31768 40432 44401 46816 50744 55594 63536 69773 80864 88802 101488 111188 120517 127072 139546 177604 202976 222376 241034 279092 355208 444752 482068 488411 558184 710416 843619 889504 964136 976822 1116368 1325687 1420832 1687238 1928272 1953644 2232736 2289823 2651374 3374476 3856544 3907288 4579646 5302748 6748952 7814576 9159292 9279809 10605496 13497904 15629152 16028761 18318584 18559618 21210992 25188053 26995808 32057522 36637168 37119236 42421984 50376106 64115044 73274336 74238472 100752212 128230088 148476944 176316371 201504424 256460176 296953888 352632742 403008848 512920352 705265484 806017696 1410530968 2821061936 5642123872