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8199414625444 = 22746124792
BaseRepresentation
bin111011101010001001100…
…1100100011010010100100
31002000212010022011222102121
41313110103030203102210
52033314400121003234
625234431543315324
71504250065240000
oct167242314432244
932025108158377
108199414625444
112681396885909
12b0512744bb44
13476280868753
14204bd4b03700
15e3443d0a4b4
hex775133234a4

8199414625444 has 135 divisors (see below), whose sum is σ = 17053994940801. Its totient is φ = 3449211786720.

The previous prime is 8199414625429. The next prime is 8199414625471. The reversal of 8199414625444 is 4445264149918.

The square root of 8199414625444 is 2863462.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 266629715044 + 7932784910400 = 516362^2 + 2816520^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17117775597 + ... + 17117776075.

Almost surely, 28199414625444 is an apocalyptic number.

8199414625444 is the 2863462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8199414625444

8199414625444 is an abundant number, since it is smaller than the sum of its proper divisors (8854580315357).

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

8199414625444 is an frugal number, since it uses more digits than its factorization.

8199414625444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 549 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 61.

The spelling of 8199414625444 in words is "eight trillion, one hundred ninety-nine billion, four hundred fourteen million, six hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 343 427 479 686 854 958 1372 1708 1916 2401 2989 3353 3721 4802 5978 6706 7442 9604 11956 13412 14884 20923 23471 26047 29219 41846 46942 52094 58438 83692 93884 104188 116876 146461 164297 182329 204533 229441 292922 328594 364658 409066 458882 585844 657188 729316 818132 917764 1150079 1276303 1431731 1606087 1782359 2300158 2552606 2863462 3212174 3564718 4600316 5105212 5726924 6424348 7129436 8934121 10022117 11242609 12476513 13995901 17868242 20044234 22485218 24953026 27991802 35736484 40088468 44970436 49906052 55983604 70154819 78698263 87335591 97971307 140309638 157396526 174671182 195942614 280619276 314793052 349342364 391885228 550887841 611349137 685799149 853749961 1101775682 1222698274 1371598298 1707499922 2203551364 2445396548 2743196596 3414999844 4279443959 4800594043 5976249727 8558887918 9601188086 11952499454 17117775836 19202376172 23904998908 33604158301 41833748089 67208316602 83667496178 134416633204 167334992356 292836236623 585672473246 1171344946492 2049853656361 4099707312722 8199414625444