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5145005415 = 3511713891129
BaseRepresentation
bin1001100101010101…
…01000110101100111
3111021120020100121010
410302222220311213
541014110133130
62210311153303
7241332552534
oct46252506547
914246210533
105145005415
1122002487a0
12bb7075833
1363cbcc304
1436b449d8b
15201a4b0b0
hex132aa8d67

5145005415 has 64 divisors (see below), whose sum is σ = 9138355200. Its totient is φ = 2450918400.

The previous prime is 5145005407. The next prime is 5145005419.

5145005415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5145005415 - 23 = 5145005407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145005419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4556571 + ... + 4557699.

It is an arithmetic number, because the mean of its divisors is an integer number (142786800).

Almost surely, 25145005415 is an apocalyptic number.

5145005415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5145005415 is a deficient number, since it is larger than the sum of its proper divisors (3993349785).

5145005415 is a wasteful number, since it uses less digits than its factorization.

5145005415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608.

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 5145005415 is about 71728.6931081279. The cubic root of 5145005415 is about 1726.3490576791.

It can be divided in two parts, 514500 and 5415, that added together give a palindrome (519915).

The spelling of 5145005415 in words is "five billion, one hundred forty-five million, five thousand, four hundred fifteen".

Divisors: 1 3 5 11 15 33 55 71 165 213 355 389 781 1065 1129 1167 1945 2343 3387 3905 4279 5645 5835 11715 12419 12837 16935 21395 27619 37257 62095 64185 80159 82857 138095 186285 240477 303809 400795 414285 439181 881749 911427 1202385 1317543 1519045 2195905 2645247 4408745 4557135 4830991 6587715 13226235 14492973 24154955 31181851 72464865 93545553 155909255 343000361 467727765 1029001083 1715001805 5145005415