Search a number
-
+
51217741441 = 974014333041
BaseRepresentation
bin101111101100110100…
…001011011010000001
311220012110012211211201
4233230310023122001
51314343220211231
635310141541201
73462136422226
oct575464133201
9156173184751
1051217741441
111a7a3097239
129b14874801
134aa31365a9
14269c35b94d
1514eb737161
hexbecd0b681

51217741441 has 16 divisors (see below), whose sum is σ = 52011702288. Its totient is φ = 50429952000.

The previous prime is 51217741433. The next prime is 51217741447. The reversal of 51217741441 is 14414771215.

51217741441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8339342400 + 42878399041 = 91320^2 + 207071^2 .

It is a cyclic number.

It is not a de Polignac number, because 51217741441 - 23 = 51217741433 is a prime.

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 51217741441.

It is not an unprimeable number, because it can be changed into a prime (51217741447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16840881 + ... + 16843921.

It is an arithmetic number, because the mean of its divisors is an integer number (3250731393).

Almost surely, 251217741441 is an apocalyptic number.

It is an amenable number.

51217741441 is a deficient number, since it is larger than the sum of its proper divisors (793960847).

51217741441 is a wasteful number, since it uses less digits than its factorization.

51217741441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972.

The product of its digits is 31360, while the sum is 37.

It can be divided in two parts, 5121774 and 1441, that added together give a palindrome (5123215).

The spelling of 51217741441 in words is "fifty-one billion, two hundred seventeen million, seven hundred forty-one thousand, four hundred forty-one".

Divisors: 1 97 401 433 3041 38897 42001 173633 294977 1219441 1316753 16842401 118285777 127725041 528017953 51217741441