Search a number
-
+
55408535703481 = 2945321672
BaseRepresentation
bin11001001100100110011100…
…00101101000111110111001
321021012000010010021102110211
430212103032011220332321
524230303140120002411
6313502155131511121
714446064111363212
oct1446231605507671
9237160103242424
1055408535703481
111672269a9a8344
12626a6665b84a1
1324bc00564179c
14d97b04a28409
156614832e2221
hex3264ce168fb9

55408535703481 has 45 divisors (see below), whose sum is σ = 58842960822331. Its totient is φ = 52174199858144.

The previous prime is 55408535703473. The next prime is 55408535703517. The reversal of 55408535703481 is 18430753580455.

The square root of 55408535703481 is 7443691.

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

It can be written as a sum of positive squares in 7 ways, for example, as 13102409075625 + 42306126627856 = 3619725^2 + 6504316^2 .

It is not a de Polignac number, because 55408535703481 - 23 = 55408535703473 is a prime.

It is a super-2 number, since 2×554085357034812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55408535700481) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 331787638860 + ... + 331787639026.

Almost surely, 255408535703481 is an apocalyptic number.

55408535703481 is the 7443691-st square number.

55408535703481 is the 3721846-th centered octagonal number.

It is an amenable number.

55408535703481 is a deficient number, since it is larger than the sum of its proper divisors (3434425118850).

55408535703481 is an frugal number, since it uses more digits than its factorization.

55408535703481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 58.

The spelling of 55408535703481 in words is "fifty-five trillion, four hundred eight billion, five hundred thirty-five million, seven hundred three thousand, four hundred eighty-one".

Divisors: 1 29 53 167 841 1537 2809 4843 8851 24389 27889 44573 81461 140447 256679 469103 707281 808781 1292617 1478117 2362369 4072963 7443691 13603987 23454649 37485893 42865393 68508701 78340201 118115927 215867039 394515623 680184821 1243096397 1986752329 2271865829 6260144131 11440953067 19725359809 36049795513 65884109041 331787638943 1045444069877 1910639162189 55408535703481