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5022724164304 = 2471129821171233
BaseRepresentation
bin100100100010111000110…
…1100001000101011010000
3122210011112021122021120011
41021011301230020223100
51124243014341224204
614403224014124304
71025610533654050
oct111056154105320
918704467567504
105022724164304
111667141937540
126915301b0694
132a5843c66332
1413515b791560
158a9bc6e7304
hex49171b08ad0

5022724164304 has 160 divisors (see below), whose sum is σ = 12566548189440. Its totient is φ = 1887113625600.

The previous prime is 5022724164299. The next prime is 5022724164317. The reversal of 5022724164304 is 4034614272205.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29247072 + ... + 29418304.

It is an arithmetic number, because the mean of its divisors is an integer number (78540926184).

Almost surely, 25022724164304 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 5022724164304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283274094720).

5022724164304 is an abundant number, since it is smaller than the sum of its proper divisors (7543824025136).

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

5022724164304 is a wasteful number, since it uses less digits than its factorization.

5022724164304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172109 (or 172103 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 5022724164304 in words is "five trillion, twenty-two billion, seven hundred twenty-four million, one hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 821 1232 1276 1624 1642 2233 2552 3248 3284 4466 5104 5747 6568 8932 9031 11494 13136 17864 18062 22988 23809 35728 36124 45976 47618 63217 72248 91952 95236 126434 144496 166663 171233 190472 252868 261899 333326 342466 380944 505736 523798 666652 684932 1011472 1047596 1198631 1333304 1369864 1833293 1883563 2095192 2397262 2666608 2739728 3666586 3767126 4190384 4794524 4965757 7333172 7534252 9589048 9931514 13184941 14666344 15068504 19178096 19863028 26369882 29332688 30137008 34760299 39726056 52739764 54623327 69520598 79452112 105479528 109246654 139041196 140582293 210959056 218493308 278082392 281164586 382363289 436986616 556164784 562329172 764726578 873973232 984076051 1124658344 1529453156 1546405223 1968152102 2249316688 3058906312 3092810446 3936304204 4076886497 6117812624 6185620892 7872608408 8153772994 10824836561 12371241784 15745216816 16307545988 21649673122 24742483568 28538205479 32615091976 43299346244 44845751467 57076410958 65230183952 86598692488 89691502934 114152821916 173197384976 179383005868 228305643832 313920260269 358766011736 456611287664 627840520538 717532023472 1255681041076 2511362082152 5022724164304