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13522867424 = 2511139479577
BaseRepresentation
bin11001001100000011…
…01001010011100000
31021220102122211201122
430212001221103200
5210143323224144
610113505551412
7656052322313
oct144601512340
937812584648
1013522867424
11580a3404a0
122754945568
131376802401
14923d9497a
155422d57ee
hex3260694e0

13522867424 has 96 divisors (see below), whose sum is σ = 29364249600. Its totient is φ = 6079242240.

The previous prime is 13522867387. The next prime is 13522867429. The reversal of 13522867424 is 42476822531.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13522867429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23436224 + ... + 23436800.

It is an arithmetic number, because the mean of its divisors is an integer number (305877600).

Almost surely, 213522867424 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 13522867424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682124800).

13522867424 is an abundant number, since it is smaller than the sum of its proper divisors (15841382176).

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

13522867424 is a wasteful number, since it uses less digits than its factorization.

13522867424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The spelling of 13522867424 in words is "thirteen billion, five hundred twenty-two million, eight hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 479 556 577 958 1112 1154 1529 1916 2224 2308 3058 3832 4448 4616 5269 6116 6347 7664 9232 10538 12232 12694 15328 18464 21076 24464 25388 42152 48928 50776 66581 80203 84304 101552 133162 160406 168608 203104 266324 276383 320812 532648 552766 641624 732391 882233 1065296 1105532 1283248 1464782 1764466 2130592 2211064 2566496 2929564 3040213 3528932 4422128 5859128 6080426 7057864 8844256 11718256 12160852 14115728 23436512 24321704 28231456 38417237 48643408 76834474 97286816 153668948 307337896 422589607 614675792 845179214 1229351584 1690358428 3380716856 6761433712 13522867424