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13446664532 = 22731731371549
BaseRepresentation
bin11001000010111101…
…11101000101010100
31021201010021100000022
430201132331011110
5210014321231112
610102144404312
7654135522410
oct144136750524
937633240008
1013446664532
1157803230a4
122733316698
131363aa1442
14917bd9d40
1553a781d72
hex3217bd154

13446664532 has 96 divisors (see below), whose sum is σ = 28364851200. Its totient is φ = 5456885760.

The previous prime is 13446664531. The next prime is 13446664537. The reversal of 13446664532 is 23546664431.

13446664532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134466645322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13446664531) by changing a digit.

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, 8680094 + ... + 8681642.

It is an arithmetic number, because the mean of its divisors is an integer number (295467200).

Almost surely, 213446664532 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 13446664532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182425600).

13446664532 is an abundant number, since it is smaller than the sum of its proper divisors (14918186668).

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

13446664532 is a wasteful number, since it uses less digits than its factorization.

13446664532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1799 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 44.

The spelling of 13446664532 in words is "thirteen billion, four hundred forty-six million, six hundred sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 73 124 137 146 217 274 292 434 511 548 868 959 1022 1549 1918 2044 2263 3098 3836 4247 4526 6196 8494 9052 10001 10843 15841 16988 20002 21686 29729 31682 40004 43372 48019 59458 63364 70007 96038 113077 118916 140014 192076 212213 226154 280028 310031 336133 424426 452308 620062 672266 791539 848852 1240124 1344532 1485491 1583078 2170217 2970982 3166156 3505387 4340434 5941964 6578603 7010774 8680868 13157206 14021548 15491549 24537709 26314412 30983098 46050221 49075418 61966196 92100442 98150836 108440843 184200884 216881686 433763372 480238019 960476038 1920952076 3361666133 6723332266 13446664532