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3148800564196 = 22741929532
BaseRepresentation
bin101101110100100011001…
…000111001101111100100
3102011000121022210010201101
4231310203020321233210
5403042220421023241
610410312232005444
7443331133120000
oct55644310715744
912130538703641
103148800564196
111004442913a71
1242a312b30884
1319ac13754921
14ac58d263700
1556d92d99e31
hex2dd23239be4

3148800564196 has 135 divisors (see below), whose sum is σ = 6791690356521. Its totient is φ = 1277118868032.

The previous prime is 3148800564179. The next prime is 3148800564227. The reversal of 3148800564196 is 6914650088413.

The square root of 3148800564196 is 1774486.

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., 1311322716900 + 1837477847296 = 1145130^2 + 1355536^2 .

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, 3304092456 + ... + 3304093408.

Almost surely, 23148800564196 is an apocalyptic number.

3148800564196 is the 1774486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3148800564196

3148800564196 is an abundant number, since it is smaller than the sum of its proper divisors (3642889792325).

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

3148800564196 is an frugal number, since it uses more digits than its factorization.

3148800564196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 3148800564196 in words is "three trillion, one hundred forty-eight billion, eight hundred million, five hundred sixty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 361 532 686 722 931 953 1372 1444 1862 1906 2401 2527 3724 3812 4802 5054 6517 6671 9604 10108 13034 13342 17689 18107 26068 26684 35378 36214 45619 46697 70756 72428 91238 93394 123823 126749 182476 186788 247646 253498 326879 344033 495292 506996 653758 688066 866761 887243 908209 1307516 1376132 1733522 1774486 1816418 2288153 2408231 3467044 3548972 3632836 4576306 4816462 6210701 6357463 9152612 9632924 12421402 12714926 16857617 17255971 24842804 25429852 33715234 34511942 43474907 44502241 67430468 69023884 86949814 89004482 118003319 120791797 173899628 178008964 236006638 241583594 311515687 327863449 472013276 483167188 623031374 655726898 826023233 845542579 1246062748 1311453796 1652046466 1691085158 2180609809 2295044143 3304092932 3382170316 4361219618 4590088286 5918798053 8722439236 9180176572 11837596106 16065309001 23675192212 32130618002 41431586371 64261236004 82863172742 112457163007 165726345484 224914326014 449828652028 787200141049 1574400282098 3148800564196