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13424222520 = 2332554168927
BaseRepresentation
bin11001000000010010…
…10110000100111000
31021122120001011100200
430200021112010320
5204443100110040
610100023402200
7653444002662
oct144011260470
937576034320
1013424222520
115769695085
1227278b3360
13135c244647
14914c37532
155387ec630
hex320256138

13424222520 has 96 divisors (see below), whose sum is σ = 43710001920. Its totient is φ = 3573123840.

The previous prime is 13424222519. The next prime is 13424222549. The reversal of 13424222520 is 2522242431.

13424222520 is a `hidden beast` number, since 13 + 424 + 2 + 225 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160297 + ... + 229223.

It is an arithmetic number, because the mean of its divisors is an integer number (455312520).

Almost surely, 213424222520 is an apocalyptic number.

13424222520 is a gapful number since it is divisible by the number (10) 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 13424222520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855000960).

13424222520 is an abundant number, since it is smaller than the sum of its proper divisors (30285779400).

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

13424222520 is a wasteful number, since it uses less digits than its factorization.

13424222520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69485 (or 69478 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13424222520 its reverse (2522242431), we get a palindrome (15946464951).

The spelling of 13424222520 in words is "thirteen billion, four hundred twenty-four million, two hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 541 1082 1623 2164 2705 3246 4328 4869 5410 6492 8115 9738 10820 12984 16230 19476 21640 24345 32460 38952 48690 64920 68927 97380 137854 194760 206781 275708 344635 413562 551416 620343 689270 827124 1033905 1240686 1378540 1654248 2067810 2481372 2757080 3101715 4135620 4962744 6203430 8271240 12406860 24813720 37289507 74579014 111868521 149158028 186447535 223737042 298316056 335605563 372895070 447474084 559342605 671211126 745790140 894948168 1118685210 1342422252 1491580280 1678027815 2237370420 2684844504 3356055630 4474740840 6712111260 13424222520