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54435531121 = 411976739573
BaseRepresentation
bin110010101100100111…
…000100100101110001
312012111201001111110021
4302230213010211301
51342440443443441
641001330203441
73634651244236
oct625447044561
9165451044407
1054435531121
11210a4490254
12a672423581
13519699345a
1428c585778d
151638e9b3d1
hexcac9c4971

54435531121 has 8 divisors (see below), whose sum is σ = 56046297384. Its totient is φ = 52838244480.

The previous prime is 54435531113. The next prime is 54435531131. The reversal of 54435531121 is 12113553445.

It can be written as a sum of positive squares in 4 ways, for example, as 7471873600 + 46963657521 = 86440^2 + 216711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54435531121 - 23 = 54435531113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54435531131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3361710 + ... + 3377863.

It is an arithmetic number, because the mean of its divisors is an integer number (7005787173).

Almost surely, 254435531121 is an apocalyptic number.

It is an amenable number.

54435531121 is a deficient number, since it is larger than the sum of its proper divisors (1610766263).

54435531121 is a wasteful number, since it uses less digits than its factorization.

54435531121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739811.

The product of its digits is 36000, while the sum is 34.

The spelling of 54435531121 in words is "fifty-four billion, four hundred thirty-five million, five hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 41 197 8077 6739573 276322493 1327695881 54435531121