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13551421152 = 2532311535323
BaseRepresentation
bin11001001111011101…
…00100011011100000
31021222102101112002010
430213232210123200
5210223130434102
610120405552520
7656550115323
oct144756443340
937872345063
1013551421152
115824473315
122762415740
13137c6bbcc9
14927aa87ba
15544a75d6c
hex327ba46e0

13551421152 has 96 divisors (see below), whose sum is σ = 37158283008. Its totient is φ = 4316184576.

The previous prime is 13551421133. The next prime is 13551421193. The reversal of 13551421152 is 25112415531.

13551421152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×135514211523 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2543163 + ... + 2548485.

It is an arithmetic number, because the mean of its divisors is an integer number (387065448).

Almost surely, 213551421152 is an apocalyptic number.

13551421152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13551421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579141504).

13551421152 is an abundant number, since it is smaller than the sum of its proper divisors (23606861856).

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

13551421152 is a wasteful number, since it uses less digits than its factorization.

13551421152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6504 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

Adding to 13551421152 its reverse (25112415531), we get a palindrome (38663836683).

The spelling of 13551421152 in words is "thirteen billion, five hundred fifty-one million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1153 2208 2306 3459 4612 5323 6918 9224 10646 13836 15969 18448 21292 26519 27672 31938 36896 42584 53038 55344 63876 79557 85168 106076 110688 122429 127752 159114 170336 212152 244858 255504 318228 367287 424304 489716 511008 636456 734574 848608 979432 1272912 1469148 1958864 2545824 2938296 3917728 5876592 6137419 11753184 12274838 18412257 24549676 36824514 49099352 73649028 98198704 141160637 147298056 196397408 282321274 294596112 423481911 564642548 589192224 846963822 1129285096 1693927644 2258570192 3387855288 4517140384 6775710576 13551421152