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13326141052 = 2274719153017
BaseRepresentation
bin11000110100100110…
…01100011001111100
31021101201111002212201
430122103030121330
5204242443003202
610042201241244
7651143221120
oct143223143174
937351432781
1013326141052
115719294014
1226baa93224
131344b23183
14905bc5580
1552edc6387
hex31a4cc67c

13326141052 has 48 divisors (see below), whose sum is σ = 27362377728. Its totient is φ = 5560318080.

The previous prime is 13326141043. The next prime is 13326141053. The reversal of 13326141052 is 25014162331.

13326141052 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13326141052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13326141053) 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 15 ways as a sum of consecutive naturals, for example, 224848 + ... + 277864.

It is an arithmetic number, because the mean of its divisors is an integer number (570049536).

Almost surely, 213326141052 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 13326141052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681188864).

13326141052 is an abundant number, since it is smaller than the sum of its proper divisors (14036236676).

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

13326141052 is a wasteful number, since it uses less digits than its factorization.

13326141052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53266 (or 53264 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 13326141052 in words is "thirteen billion, three hundred twenty-six million, one hundred forty-one thousand, fifty-two".

Divisors: 1 2 4 7 14 28 47 94 188 191 329 382 658 764 1316 1337 2674 5348 8977 17954 35908 53017 62839 106034 125678 212068 251356 371119 742238 1484476 2491799 4983598 9967196 10126247 17442593 20252494 34885186 40504988 69770372 70883729 141767458 283534916 475933609 951867218 1903734436 3331535263 6663070526 13326141052