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13012211296 = 257347167407
BaseRepresentation
bin11000001111001011…
…01001011001100000
31020120211202211012201
430013211221121200
5203122111230141
65551104502544
7640311654040
oct140745513140
936524684181
1013012211296
115578065a37
12263191aa54
1312c4a88c16
148b6227720
15512565031
hex307969660

13012211296 has 48 divisors (see below), whose sum is σ = 29362023936. Its totient is φ = 5560557696.

The previous prime is 13012211293. The next prime is 13012211323. The reversal of 13012211296 is 69211221031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012211293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5976 + ... + 161431.

It is an arithmetic number, because the mean of its divisors is an integer number (611708832).

Almost surely, 213012211296 is an apocalyptic number.

13012211296 is a gapful number since it is divisible by the number (16) 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 13012211296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681011968).

13012211296 is an abundant number, since it is smaller than the sum of its proper divisors (16349812640).

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

13012211296 is a wasteful number, since it uses less digits than its factorization.

13012211296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167771 (or 167763 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 13012211296 in words is "thirteen billion, twelve million, two hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 347 694 1388 2429 2776 4858 5552 9716 11104 19432 38864 77728 167407 334814 669628 1171849 1339256 2343698 2678512 4687396 5357024 9374792 18749584 37499168 58090229 116180458 232360916 406631603 464721832 813263206 929443664 1626526412 1858887328 3253052824 6506105648 13012211296