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13504599808 = 287173711981
BaseRepresentation
bin11001001001110111…
…11101011100000000
31021212011021202021021
430210323331130000
5210124134143213
610112014235224
7655441130050
oct144473753400
937764252237
1013504599808
1157aaaa3797
12274a7b5b14
131372aa767b
1492179b560
155408c7d8d
hex324efd700

13504599808 has 144 divisors (see below), whose sum is σ = 33503972544. Its totient is φ = 5299568640.

The previous prime is 13504599767. The next prime is 13504599827. The reversal of 13504599808 is 80899540531.

13504599808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1121178 + ... + 1133158.

It is an arithmetic number, because the mean of its divisors is an integer number (232666476).

Almost surely, 213504599808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13504599808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751986272).

13504599808 is an abundant number, since it is smaller than the sum of its proper divisors (19999372736).

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

13504599808 is a wasteful number, since it uses less digits than its factorization.

13504599808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 13504599808 in words is "thirteen billion, five hundred four million, five hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 64 68 74 112 119 128 136 148 224 238 256 259 272 296 448 476 518 544 592 629 896 952 1036 1088 1184 1258 1792 1904 2072 2176 2368 2516 3808 4144 4352 4403 4736 5032 7616 8288 8806 9472 10064 11981 15232 16576 17612 20128 23962 30464 33152 35224 40256 47924 66304 70448 80512 83867 95848 140896 161024 167734 191696 203677 281792 335468 383392 407354 443297 563584 670936 766784 814708 886594 1127168 1341872 1425739 1533568 1629416 1773188 2683744 2851478 3067136 3103079 3258832 3546376 5367488 5702956 6206158 6517664 7092752 7536049 10734976 11405912 12412316 13035328 14185504 15072098 21469952 22811824 24824632 26070656 28371008 30144196 45623648 49649264 52141312 52752343 56742016 60288392 91247296 99298528 105504686 113484032 120576784 182494592 198597056 211009372 241153568 364989184 397194112 422018744 482307136 794388224 844037488 964614272 1688074976 1929228544 3376149952 6752299904 13504599808