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47475352135696 = 2417219253332
BaseRepresentation
bin10101100101101101101110…
…11111111110100000010000
320020002121011220210110111011
422302312313133332200100
522210314010121320241
6244545513051500304
712666660324562612
oct1262666737764020
9206077156713434
1047475352135696
1114144202667621
1253a905b457694
132064ba275a964
14ba1b68252db2
15574e22238281
hex2b2db77fe810

47475352135696 has 135 divisors (see below), whose sum is σ = 103145350334871. Its totient is φ = 21161513290752.

The previous prime is 47475352135681. The next prime is 47475352135699. The reversal of 47475352135696 is 69653125357474.

The square root of 47475352135696 is 6890236.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34727024705296 + 12748327430400 = 5892964^2 + 3570480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47475352135699) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8902182246 + ... + 8902187578.

Almost surely, 247475352135696 is an apocalyptic number.

47475352135696 is the 6890236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47475352135696

47475352135696 is an abundant number, since it is smaller than the sum of its proper divisors (55669998199175).

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

47475352135696 is an frugal number, since it uses more digits than its factorization.

47475352135696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746 (or 5371 counting only the distinct ones).

The product of its digits is 571536000, while the sum is 67.

The spelling of 47475352135696 in words is "forty-seven trillion, four hundred seventy-five billion, three hundred fifty-two million, one hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 289 304 323 361 578 646 722 1156 1292 1444 2312 2584 2888 4624 5168 5333 5491 5776 6137 10666 10982 12274 21332 21964 24548 42664 43928 49096 85328 87856 90661 98192 101327 104329 181322 202654 208658 362644 405308 417316 725288 810616 834632 1450576 1541237 1621232 1669264 1722559 1925213 3082474 3445118 3850426 6164948 6890236 7700852 12329896 13780472 15401704 24659792 27560944 28440889 29283503 30803408 32728621 56881778 58567006 65457242 113763556 117134012 130914484 227527112 234268024 261828968 455054224 468536048 483495113 523657936 540376891 556386557 966990226 1080753782 1112773114 1933980452 2161507564 2225546228 3867960904 4323015128 4451092456 7735921808 8219416921 8646030256 8902184912 9186407147 10267160929 16438833842 18372814294 20534321858 32877667684 36745628588 41068643716 65755335368 73491257176 82137287432 131510670736 146982514352 156168921499 164274574864 174541735793 312337842998 349083471586 624675685996 698166943172 1249351371992 1396333886344 2498702743984 2792667772688 2967209508481 5934419016962 11868838033924 23737676067848 47475352135696