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54778087745 = 531335001973
BaseRepresentation
bin110011000001000001…
…110100100101000001
312020101120122011210122
4303001001310211001
51344141142301440
641055324310025
73646311030503
oct630101644501
9166346564718
1054778087745
112125a8910a7
12a7490a2315
13521c941694
142919147d73
1516590b47b5
hexcc1074941

54778087745 has 8 divisors (see below), whose sum is σ = 65943719016. Its totient is φ = 43682461056.

The previous prime is 54778087739. The next prime is 54778087757.

54778087745 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5036598961 + 49741488784 = 70969^2 + 223028^2 .

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 54778087745 - 24 = 54778087729 is a prime.

It is a super-4 number, since 4×547780877454 (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17499422 + ... + 17502551.

It is an arithmetic number, because the mean of its divisors is an integer number (8242964877).

Almost surely, 254778087745 is an apocalyptic number.

It is an amenable number.

54778087745 is a deficient number, since it is larger than the sum of its proper divisors (11165631271).

54778087745 is a wasteful number, since it uses less digits than its factorization.

54778087745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35002291.

The product of its (nonzero) digits is 61465600, while the sum is 62.

The spelling of 54778087745 in words is "fifty-four billion, seven hundred seventy-eight million, eighty-seven thousand, seven hundred forty-five".

Divisors: 1 5 313 1565 35001973 175009865 10955617549 54778087745