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13506247356 = 22371971119191
BaseRepresentation
bin11001001010000100…
…01111101010111100
31021212021101110021120
430211002033222330
5210130044403411
610112113430540
7655461131310
oct144502175274
937767343246
1013506247356
115800a195a8
12274b26b450
131373233554
14921aa9b40
15540b01106
hex32508fabc

13506247356 has 96 divisors (see below), whose sum is σ = 38446571520. Its totient is φ = 3604305600.

The previous prime is 13506247309. The next prime is 13506247393. The reversal of 13506247356 is 65374260531.

13506247356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 53721 + ... + 172911.

It is an arithmetic number, because the mean of its divisors is an integer number (400485120).

Almost surely, 213506247356 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 13506247356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223285760).

13506247356 is an abundant number, since it is smaller than the sum of its proper divisors (24940324164).

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

13506247356 is a wasteful number, since it uses less digits than its factorization.

13506247356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119295 (or 119293 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 13506247356 in words is "thirteen billion, five hundred six million, two hundred forty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 71 76 84 114 133 142 213 228 266 284 399 426 497 532 798 852 994 1349 1491 1596 1988 2698 2982 4047 5396 5964 8094 9443 16188 18886 28329 37772 56658 113316 119191 238382 357573 476764 715146 834337 1430292 1668674 2264629 2503011 3337348 4529258 5006022 6793887 8462561 9058516 10012044 13587774 15852403 16925122 25387683 27175548 31704806 33850244 47557209 50775366 59237927 63409612 95114418 101550732 118475854 160788659 177713781 190228836 236951708 321577318 355427562 482365977 643154636 710855124 964731954 1125520613 1929463908 2251041226 3376561839 4502082452 6753123678 13506247356