Search a number
-
+
54659451441 = 372312616343
BaseRepresentation
bin110010111001111101…
…010000101000110001
312020002022101211101110
4302321331100220301
51343420304421231
641035445423533
73643340446200
oct627175205061
9166068354343
1054659451441
11211a9920971
12a71540aba9
1352011a439a
1429074a5237
15164d97d046
hexcb9f50a31

54659451441 has 72 divisors (see below), whose sum is σ = 89051032512. Its totient is φ = 29726222400.

The previous prime is 54659451383. The next prime is 54659451499. The reversal of 54659451441 is 14415495645.

54659451441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54659451383) and next prime (54659451499).

It is not a de Polignac number, because 54659451441 - 29 = 54659450929 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54659451241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8614116 + ... + 8620458.

It is an arithmetic number, because the mean of its divisors is an integer number (1236819896).

Almost surely, 254659451441 is an apocalyptic number.

It is an amenable number.

54659451441 is a deficient number, since it is larger than the sum of its proper divisors (34391581071).

54659451441 is a wasteful number, since it uses less digits than its factorization.

54659451441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6445 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The spelling of 54659451441 in words is "fifty-four billion, six hundred fifty-nine million, four hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 7 21 31 49 61 93 147 183 217 427 651 961 1281 1519 1891 2883 2989 4557 5673 6343 6727 8967 13237 19029 20181 39711 44401 47089 58621 92659 133203 141267 175863 196633 277977 310807 386923 410347 589899 932421 1160769 1231041 1376431 2708461 2872429 4129293 6095623 8125383 8617287 9635017 11994613 18286869 18959227 28905051 35983839 42669361 56877681 83962291 128008083 251886873 298685527 371833003 587736037 896056581 1115499009 1763208111 2602831021 7808493063 18219817147 54659451441