Search a number
-
+
54465656445 = 3354113970793
BaseRepresentation
bin110010101110011001…
…111111011001111101
312012120210202000122000
4302232121333121331
51343021202001240
641004324012513
73635465304204
oct625631773175
9165523660560
1054465656445
112110a496912
12a680531139
13519ccb04a5
1428c985a23b
15163b94c430
hexcae67f67d

54465656445 has 64 divisors (see below), whose sum is σ = 99904492800. Its totient is φ = 28135572480.

The previous prime is 54465656419. The next prime is 54465656447.

54465656445 is a `hidden beast` number, since 544 + 6 + 5 + 6 + 56 + 4 + 45 = 666.

54465656445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54465656445 - 27 = 54465656317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54465656391 and 54465656400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54465656447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733969 + ... + 804761.

It is an arithmetic number, because the mean of its divisors is an integer number (1561007700).

Almost surely, 254465656445 is an apocalyptic number.

It is an amenable number.

54465656445 is a deficient number, since it is larger than the sum of its proper divisors (45438836355).

54465656445 is a wasteful number, since it uses less digits than its factorization.

54465656445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70987 (or 70981 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

The spelling of 54465656445 in words is "fifty-four billion, four hundred sixty-five million, six hundred fifty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 139 205 369 417 615 695 1107 1251 1845 2085 3753 5535 5699 6255 17097 18765 28495 51291 70793 85485 153873 212379 256455 353965 637137 769365 1061895 1911411 2902513 3185685 8707539 9557055 9840227 14512565 26122617 29520681 43537695 49201135 78367851 88562043 130613085 147603405 265686129 391839255 403449307 442810215 1210347921 1328430645 2017246535 3631043763 6051739605 10893131289 18155218815 54465656445