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5334332201312 = 251737349759371
BaseRepresentation
bin100110110011111111011…
…1110011101100101100000
3200212221211210010200111212
41031213332332131211200
51144344203020420222
615202320335525252
71060251503404052
oct115477676354540
920787753120455
105334332201312
111777306509854
127219b5089828
132c904397039a
1414627c43d8d2
1593b58eee6e2
hex4d9fef9d960

5334332201312 has 96 divisors (see below), whose sum is σ = 11453000378400. Its totient is φ = 2435427164160.

The previous prime is 5334332201311. The next prime is 5334332201339. The reversal of 5334332201312 is 2131022334335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334332201311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6644987 + ... + 7404357.

It is an arithmetic number, because the mean of its divisors is an integer number (119302087275).

Almost surely, 25334332201312 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 5334332201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726500189200).

5334332201312 is an abundant number, since it is smaller than the sum of its proper divisors (6118668177088).

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

5334332201312 is a wasteful number, since it uses less digits than its factorization.

5334332201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759784 (or 759776 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 5334332201312 its reverse (2131022334335), we get a palindrome (7465354535647).

The spelling of 5334332201312 in words is "five trillion, three hundred thirty-four billion, three hundred thirty-two million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 349 544 592 629 698 1184 1258 1396 2516 2792 5032 5584 5933 10064 11168 11866 12913 20128 23732 25826 47464 51652 94928 103304 189856 206608 219521 413216 439042 759371 878084 1518742 1756168 3037484 3512336 6074968 7024672 12149936 12909307 24299872 25818614 28096727 51637228 56193454 103274456 112386908 206548912 224773816 265020479 413097824 449547632 477644359 530040958 899095264 955288718 1060081916 1910577436 2120163832 3821154872 4240327664 4505348143 7642309744 8480655328 9010696286 9805757723 15284619488 18021392572 19611515446 36042785144 39223030892 72085570288 78446061784 144171140576 156892123568 166697881291 313784247136 333395762582 666791525164 1333583050328 2667166100656 5334332201312