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13045444044052 = 2271985946796101
BaseRepresentation
bin1011110111010110000100…
…0011101110010100010100
31201012010120102111011021011
42331311201003232110110
53202214032133402202
643424554432102004
72514334156531630
oct275654103562424
951163512434234
1013045444044052
11417a5a60836a2
121568364994904
1373824588c304
1433158d641dc0
1517951e088bd7
hexbdd610ee514

13045444044052 has 96 divisors (see below), whose sum is σ = 27506449152000. Its totient is φ = 5288482742400.

The previous prime is 13045444044043. The next prime is 13045444044053. The reversal of 13045444044052 is 25044044454031.

13045444044052 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 2×130454440440522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13045444043996 and 13045444044014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13045444044053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2138243802 + ... + 2138249902.

It is an arithmetic number, because the mean of its divisors is an integer number (286525512000).

Almost surely, 213045444044052 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 13045444044052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753224576000).

13045444044052 is an abundant number, since it is smaller than the sum of its proper divisors (14461005107948).

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

13045444044052 is a wasteful number, since it uses less digits than its factorization.

13045444044052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669 (or 11667 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 13045444044052 its reverse (25044044454031), we get a palindrome (38089488498083).

The spelling of 13045444044052 in words is "thirteen trillion, forty-five billion, four hundred forty-four million, forty-four thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 859 1718 3436 4679 6013 6101 9358 12026 12202 16321 18716 24052 24404 32642 32753 42707 65284 65506 85414 88901 114247 115919 131012 170828 177802 228494 231838 355604 456988 463676 622307 811433 1244614 1622866 2489228 3245732 4019261 5240759 8038522 10481518 16077044 20963036 28134827 28546579 36685313 56269654 57093158 73370626 76365959 99574421 112539308 114186316 146741252 152731918 199148842 199826053 305463836 398297684 399652106 534561713 542385001 697020947 799304212 1069123426 1084770002 1394041894 2138246852 2169540004 2788083788 3796695007 7593390014 15186780028 24521511361 49043022722 98086045444 171650579527 343301159054 465908715859 686602318108 931817431718 1863634863436 3261361011013 6522722022026 13045444044052