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5316414146135 = 5233241152312433
BaseRepresentation
bin100110101011101001011…
…1110100000011001010111
3200211020121001011011122122
41031113102332200121113
51144101004010134020
615150154341450155
71056045461425121
oct115272276403127
920736531134578
105316414146135
11176a751206794
1271a43441095b
132c7449701481
1414545c864211
159345ae31125
hex4d5d2fa0657

5316414146135 has 32 divisors (see below), whose sum is σ = 6438405175488. Its totient is φ = 4214197370880.

The previous prime is 5316414146111. The next prime is 5316414146161.

It is a happy number.

5316414146135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5316414146135 - 240 = 4216902518359 is a prime.

It is a super-2 number, since 2×53164141461352 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427598879 + ... + 427611311.

It is an arithmetic number, because the mean of its divisors is an integer number (201200161734).

Almost surely, 25316414146135 is an apocalyptic number.

5316414146135 is a deficient number, since it is larger than the sum of its proper divisors (1121991029353).

5316414146135 is a wasteful number, since it uses less digits than its factorization.

5316414146135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435.

The product of its digits is 518400, while the sum is 44.

The spelling of 5316414146135 in words is "five trillion, three hundred sixteen billion, four hundred fourteen million, one hundred forty-six thousand, one hundred thirty-five".

Divisors: 1 5 233 241 1165 1205 1523 7615 12433 56153 62165 280765 354859 367043 1774295 1835215 2896889 2996353 14484445 14981765 18935459 85521019 94677295 427605095 698150249 3490751245 4411961947 4563445619 22059809735 22817228095 1063282829227 5316414146135