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54320402345 = 51121717330529
BaseRepresentation
bin110010100101101111…
…111000111110101001
312012012200102100110112
4302211233320332221
51342222010333340
640542054424105
73632052541646
oct624557707651
9165180370415
1054320402345
11210454a6300
12a63b962035
135178b83811
1428b4448dcd
15162dd09065
hexca5bf8fa9

54320402345 has 48 divisors (see below), whose sum is σ = 76304728080. Its totient is φ = 36965744640.

The previous prime is 54320402273. The next prime is 54320402359.

54320402345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 122699929 + 54197702416 = 11077^2 + 232804^2 .

It is a de Polignac number, because none of the positive numbers 2k-54320402345 is a prime.

It is a super-2 number, since 2×543204023452 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1764041 + ... + 1794569.

It is an arithmetic number, because the mean of its divisors is an integer number (1589681835).

Almost surely, 254320402345 is an apocalyptic number.

54320402345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54320402345 is a deficient number, since it is larger than the sum of its proper divisors (21984325735).

54320402345 is a wasteful number, since it uses less digits than its factorization.

54320402345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30746 (or 30735 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 54320402345 in words is "fifty-four billion, three hundred twenty million, four hundred two thousand, three hundred forty-five".

Divisors: 1 5 11 17 55 85 121 173 187 605 865 935 1903 2057 2941 9515 10285 14705 20933 30529 32351 104665 152645 161755 335819 355861 518993 1679095 1779305 2594965 3694009 5281517 5708923 18470045 26407585 28544615 58096687 62798153 89785789 290483435 313990765 448928945 639063557 987643679 3195317785 4938218395 10864080469 54320402345