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53484956582281 = 72472222292
BaseRepresentation
bin11000010100100111011111…
…10101101000000110001001
321000101010000120210110020021
430022103233311220012021
524002244142341113111
6305430352211300441
714160106040544100
oct1412235765500611
9230333016713207
1053484956582281
111605092a705934
125bb98ab8aa721
1323ac7c0862533
14d2c98583b037
1562b3ee497d71
hex30a4efd68189

53484956582281 has 27 divisors (see below), whose sum is σ = 63571989673479. Its totient is φ = 44866820474448.

The previous prime is 53484956582279. The next prime is 53484956582297. The reversal of 53484956582281 is 18228565948435.

The square root of 53484956582281 is 7313341.

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., 14492175445881 + 38992781136400 = 3806859^2 + 6244420^2 .

It is not a de Polignac number, because 53484956582281 - 21 = 53484956582279 is a prime.

It is a super-2 number, since 2×534849565822812 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53484956582281.

It is not an unprimeable number, because it can be changed into a prime (53484956582231) 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, 2406078075 + ... + 2406100303.

Almost surely, 253484956582281 is an apocalyptic number.

53484956582281 is the 7313341-st square number.

53484956582281 is the 3656671-st centered octagonal number.

It is an amenable number.

53484956582281 is a deficient number, since it is larger than the sum of its proper divisors (10087033091198).

53484956582281 is an frugal number, since it uses more digits than its factorization.

53484956582281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44566 (or 22283 counting only the distinct ones).

The product of its digits is 663552000, while the sum is 70.

The spelling of 53484956582281 in words is "fifty-three trillion, four hundred eighty-four billion, nine hundred fifty-six million, five hundred eighty-two thousand, two hundred eighty-one".

Divisors: 1 7 47 49 329 2209 2303 15463 22229 108241 155603 1044763 1089221 7313341 49103861 51193387 343727027 494128441 2406089189 3458899087 23224036727 24212293609 162568257089 1091529726169 1137977799623 7640708083183 53484956582281