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13523531504 = 2471919013343
BaseRepresentation
bin11001001100001000…
…01011011011110000
31021220110220120200012
430212010023123300
5210144011002004
610113532114052
7656061056360
oct144604133360
937813816605
1013523531504
11580a75441a
122755005928
1313769a5762
149240c89a0
155423b746e
hex32610b6f0

13523531504 has 80 divisors (see below), whose sum is σ = 31547028480. Its totient is φ = 5486227200.

The previous prime is 13523531503. The next prime is 13523531507. The reversal of 13523531504 is 40513532531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523531503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4043657 + ... + 4046999.

It is an arithmetic number, because the mean of its divisors is an integer number (394337856).

Almost surely, 213523531504 is an apocalyptic number.

13523531504 is a gapful number since it is divisible by the number (14) 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 13523531504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773514240).

13523531504 is an abundant number, since it is smaller than the sum of its proper divisors (18023496976).

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

13523531504 is a wasteful number, since it uses less digits than its factorization.

13523531504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 13523531504 in words is "thirteen billion, five hundred twenty-three million, five hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1901 2128 3343 3802 6686 7604 13307 13372 15208 23401 26614 26744 30416 36119 46802 53228 53488 63517 72238 93604 106456 127034 144476 187208 212912 252833 254068 288952 374416 444619 505666 508136 577904 889238 1011332 1016272 1778476 2022664 3556952 4045328 6355043 7113904 12710086 25420172 44485301 50840344 88970602 101680688 120745817 177941204 241491634 355882408 482983268 711764816 845220719 965966536 1690441438 1931933072 3380882876 6761765752 13523531504