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13231211392 = 27747379829
BaseRepresentation
bin11000101001010010…
…00100001110000000
31021011002212011212101
430110221010032000
5204044142231032
610024530440144
7645611304220
oct142451041600
937132764771
1013231211392
11567a745a53
122693133054
13132b266489
148d7354080
155268c3de7
hex314a44380

13231211392 has 128 divisors (see below), whose sum is σ = 30883968000. Its totient is φ = 5528549376.

The previous prime is 13231211387. The next prime is 13231211407. The reversal of 13231211392 is 29311213231.

It is a tau number, because it is divible by the number of its divisors (128).

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 13231211392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15960034 + ... + 15960862.

It is an arithmetic number, because the mean of its divisors is an integer number (241281000).

Almost surely, 213231211392 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 13231211392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441984000).

13231211392 is an abundant number, since it is smaller than the sum of its proper divisors (17652756608).

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

13231211392 is an equidigital number, since it uses as much as digits as its factorization.

13231211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1264 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The spelling of 13231211392 in words is "thirteen billion, two hundred thirty-one million, two hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 329 376 379 448 658 752 758 829 896 1316 1504 1516 1658 2632 2653 3008 3032 3316 5264 5306 5803 6016 6064 6632 10528 10612 11606 12128 13264 17813 21056 21224 23212 24256 26528 35626 38963 42112 42448 46424 48512 53056 71252 77926 84896 92848 106112 124691 142504 155852 169792 185696 249382 272741 285008 311704 314191 339584 371392 498764 545482 570016 623408 628382 742784 997528 1090964 1140032 1246816 1256764 1995056 2181928 2199337 2280064 2493632 2513528 3990112 4363856 4398674 4987264 5027056 7980224 8727712 8797348 10054112 14766977 15960448 17455424 17594696 20108224 29533954 34910848 35189392 40216448 59067908 70378784 103368839 118135816 140757568 206737678 236271632 281515136 413475356 472543264 826950712 945086528 1653901424 1890173056 3307802848 6615605696 13231211392