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12513143420424 = 233551471250593
BaseRepresentation
bin1011011000010111000101…
…1101111111011000001000
31122022020121110221202100000
42312011301131333120020
53120003404203423144
642340243030243000
72431021234064013
oct266056135773010
948266543852300
1012513143420424
113a94881275629
1214a116a4b6460
136c9ca48464ba
143138d462237a
1516a767885769
hexb617177f608

12513143420424 has 96 divisors (see below), whose sum is σ = 35151796199520. Its totient is φ = 4170234087936.

The previous prime is 12513143420399. The next prime is 12513143420443. The reversal of 12513143420424 is 42402434131521.

12513143420424 is a `hidden beast` number, since 1 + 2 + 5 + 13 + 1 + 434 + 204 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9380472 + ... + 10631064.

It is an arithmetic number, because the mean of its divisors is an integer number (366164543745).

Almost surely, 212513143420424 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 12513143420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575898099760).

12513143420424 is an abundant number, since it is smaller than the sum of its proper divisors (22638652779096).

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

12513143420424 is a wasteful number, since it uses less digits than its factorization.

12513143420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255761 (or 1255745 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 12513143420424 its reverse (42402434131521), we get a palindrome (54915577551945).

The spelling of 12513143420424 in words is "twelve trillion, five hundred thirteen billion, one hundred forty-three million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5147 10294 15441 20588 30882 41176 46323 61764 92646 123528 138969 185292 277938 370584 416907 555876 833814 1111752 1250593 1250721 1667628 2501186 2501442 3335256 3751779 5002372 5002884 7503558 10004744 10005768 11255337 15007116 22510674 30014232 33766011 45021348 67532022 90042696 101298033 135064044 202596066 270128088 303894099 405192132 607788198 810384264 1215576396 2431152792 6436802171 12873604342 19310406513 25747208684 38620813026 51494417368 57931219539 77241626052 115862439078 154483252104 173793658617 231724878156 347587317234 463449756312 521380975851 695174634468 1042761951702 1390349268936 1564142927553 2085523903404 3128285855106 4171047806808 6256571710212 12513143420424