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13552315413 = 37131492111579
BaseRepresentation
bin11001001111100011…
…11110110000010101
31021222111001221202220
430213301332300111
5210223343043123
610120441052553
7656560531440
oct144761766025
937874057686
1013552315413
115824a2417a
122762787159
13137c943060
14927c5c657
15544ba0ce3
hex327c7ec15

13552315413 has 64 divisors (see below), whose sum is σ = 22509312000. Its totient is φ = 7062370560.

The previous prime is 13552315411. The next prime is 13552315417. The reversal of 13552315413 is 31451325531.

It is not a de Polignac number, because 13552315413 - 21 = 13552315411 is a prime.

It is a super-3 number, since 3×135523154133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552315411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8582058 + ... + 8583636.

It is an arithmetic number, because the mean of its divisors is an integer number (351708000).

Almost surely, 213552315413 is an apocalyptic number.

13552315413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13552315413 is a deficient number, since it is larger than the sum of its proper divisors (8956996587).

13552315413 is a wasteful number, since it uses less digits than its factorization.

13552315413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962.

The product of its digits is 27000, while the sum is 33.

The spelling of 13552315413 in words is "thirteen billion, five hundred fifty-two million, three hundred fifteen thousand, four hundred thirteen".

Divisors: 1 3 7 13 21 39 91 149 211 273 447 633 1043 1477 1579 1937 2743 3129 4431 4737 5811 8229 11053 13559 19201 20527 31439 33159 40677 57603 61581 94317 143689 220073 235271 333169 408707 431067 660219 705813 999507 1226121 1646897 2332183 2860949 3058523 4331197 4940691 6996549 8582847 9175569 12993591 21409661 30318379 49642181 64228983 90955137 148926543 347495267 645348353 1042485801 1936045059 4517438471 13552315413