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63273402073764 = 2232232576412
BaseRepresentation
bin11100110001011111111001…
…01001111000001010100100
322022000212201011220011122100
432120233330221320022210
531243132411412330024
6342323222153132100
716220231613451551
oct1630577451701244
9268025634804570
1063273402073764
111918510aa33463
12711a9863ba030
13293c86b9158ac
14118a6400b3a28
1574ad468937c9
hex398bfca782a4

63273402073764 has 81 divisors (see below), whose sum is σ = 167200307384929. Its totient is φ = 20173778201280.

The previous prime is 63273402073753. The next prime is 63273402073769. The reversal of 63273402073764 is 46737020437236.

The square root of 63273402073764 is 7954458.

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

63273402073764 is a `hidden beast` number, since 6 + 3 + 2 + 7 + 340 + 207 + 37 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 790068544164 + 62483333529600 = 888858^2 + 7904640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63273402073764.

It is not an unprimeable number, because it can be changed into a prime (63273402073769) 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, 1097686384 + ... + 1097744024.

Almost surely, 263273402073764 is an apocalyptic number.

63273402073764 is the 7954458-th square number.

It is an amenable number.

63273402073764 is an abundant number, since it is smaller than the sum of its proper divisors (103926905311165).

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

63273402073764 is an frugal number, since it uses more digits than its factorization.

63273402073764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115338 (or 57669 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 54.

The spelling of 63273402073764 in words is "sixty-three trillion, two hundred seventy-three billion, four hundred two million, seventy-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 57641 115282 172923 230564 345846 518769 691692 1037538 1325743 2075076 2651486 3977229 5302972 7954458 11931687 15908916 23863374 30492089 47726748 60984178 91476267 121968356 182952534 274428801 365905068 548857602 1097715204 3322484881 6644969762 9967454643 13289939524 19934909286 29902363929 39869818572 59804727858 76417152263 119609455716 152834304526 229251456789 305668609052 458502913578 687754370367 917005827156 1375508740734 1757594502049 2751017481468 3515189004098 5272783506147 7030378008196 10545567012294 15818350518441 21091134024588 31636701036882 63273402073764