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54215442441 = 3217192981577
BaseRepresentation
bin110010011111011111…
…100000000000001001
312011221100220211112200
4302133133200000021
51342013123124231
640523425030413
73626336441256
oct623737400011
9164840824480
1054215442441
1120aa1227386
12a610785409
1351601c4574
1428a452642d
1516249c4be6
hexc9f7e0009

54215442441 has 36 divisors (see below), whose sum is σ = 87511605012. Its totient is φ = 32227103232.

The previous prime is 54215442353. The next prime is 54215442443. The reversal of 54215442441 is 14424451245.

54215442441 is a `hidden beast` number, since 5 + 42 + 154 + 424 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38447366400 + 15768076041 = 196080^2 + 125571^2 .

It is not a de Polignac number, because 54215442441 - 218 = 54215180297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54215442396 and 54215442405.

It is not an unprimeable number, because it can be changed into a prime (54215442443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435556 + ... + 546021.

It is an arithmetic number, because the mean of its divisors is an integer number (2430877917).

Almost surely, 254215442441 is an apocalyptic number.

54215442441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54215442441 is a deficient number, since it is larger than the sum of its proper divisors (33296162571).

54215442441 is a wasteful number, since it uses less digits than its factorization.

54215442441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981638 (or 981616 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 54215442441 its reverse (14424451245), we get a palindrome (68639893686).

The spelling of 54215442441 in words is "fifty-four billion, two hundred fifteen million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 361 969 1083 2907 3249 6137 18411 55233 981577 2944731 8834193 16686809 18649963 50060427 55949889 150181281 167849667 317049371 354349297 951148113 1063047891 2853444339 3189143673 6023938049 18071814147 54215442441