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54105417441 = 326319527279
BaseRepresentation
bin110010011000111011…
…110010011011100001
312011122200212222121200
4302120323302123201
51341301441324231
640504454511413
73623532313545
oct623073623341
9164580788550
1054105417441
1120a45108a29
12a59b965569
135143480a0a
142893a85a25
151619edebe6
hexc98ef26e1

54105417441 has 12 divisors (see below), whose sum is σ = 78276132480. Its totient is φ = 36013110840.

The previous prime is 54105417427. The next prime is 54105417481. The reversal of 54105417441 is 14471450145.

54105417441 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 541 + 74 + 41 = 666.

It is not a de Polignac number, because 54105417441 - 25 = 54105417409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54105417396 and 54105417405.

It is not an unprimeable number, because it can be changed into a prime (54105417481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4757961 + ... + 4769318.

It is an arithmetic number, because the mean of its divisors is an integer number (6523011040).

Almost surely, 254105417441 is an apocalyptic number.

It is an amenable number.

54105417441 is a deficient number, since it is larger than the sum of its proper divisors (24170715039).

54105417441 is a wasteful number, since it uses less digits than its factorization.

54105417441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527916 (or 9527913 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 54105417441 its reverse (14471450145), we get a palindrome (68576867586).

The spelling of 54105417441 in words is "fifty-four billion, one hundred five million, four hundred seventeen thousand, four hundred forty-one".

Divisors: 1 3 9 631 1893 5679 9527279 28581837 85745511 6011713049 18035139147 54105417441