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5318646468135 = 3571121332202019
BaseRepresentation
bin100110101100101100000…
…0010001000111000100111
3200211110100121122212202020
41031121120002020320213
51144120041443440020
615151204044114223
71056155006023410
oct115313002107047
920743317585666
105318646468135
111770697302300
1271a957b35973
132c771403b970
141455d1116807
159353bdd4c40
hex4d658088e27

5318646468135 has 96 divisors (see below), whose sum is σ = 11512350958080. Its totient is φ = 2040319860480.

The previous prime is 5318646468073. The next prime is 5318646468137.

It is a happy number.

5318646468135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5318646468135 - 215 = 5318646435367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5318646468137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15935845 + ... + 16266174.

It is an arithmetic number, because the mean of its divisors is an integer number (119920322480).

Almost surely, 25318646468135 is an apocalyptic number.

5318646468135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5318646468135 is an abundant number, since it is smaller than the sum of its proper divisors (6193704489945).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5318646468135 is a wasteful number, since it uses less digits than its factorization.

5318646468135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32202069 (or 32202058 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 5318646468135 in words is "five trillion, three hundred eighteen billion, six hundred forty-six million, four hundred sixty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 121 143 165 195 231 273 363 385 429 455 605 715 847 1001 1155 1365 1573 1815 2145 2541 3003 4235 4719 5005 7865 11011 12705 15015 23595 33033 55055 165165 32202019 96606057 161010095 225414133 354222209 418626247 483030285 676242399 1062666627 1127070665 1255878741 1771111045 2093131235 2479555463 2930383729 3381211995 3896444299 4604888717 5313333135 6279393705 7438666389 8791151187 11689332897 12397777315 13814666151 14651918645 19482221495 23024443585 27275110093 32234221019 37193331945 43955755935 50653775887 58446664485 69073330755 81825330279 96702663057 136375550465 151961327661 161171105095 253268879435 354576431209 409126651395 483513315285 759806638305 1063729293627 1772882156045 5318646468135