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1361520005104 = 247591481139123
BaseRepresentation
bin10011110100000000111…
…010101000111111110000
311211011022200002111222201
4103310000322220333300
5134301343110130404
62521250150512544
7200236510044010
oct23640072507760
94734280074881
101361520005104
11485465603616
1219ba56365754
139b51072c41c
1449c7dc6bc40
1525639d24ca4
hex13d00ea8ff0

1361520005104 has 80 divisors (see below), whose sum is σ = 3067984707840. Its totient is φ = 573227159040.

The previous prime is 1361520005009. The next prime is 1361520005117. The reversal of 1361520005104 is 4015000251631.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9716887 + ... + 9856009.

It is an arithmetic number, because the mean of its divisors is an integer number (38349808848).

Almost surely, 21361520005104 is an apocalyptic number.

1361520005104 is a gapful number since it is divisible by the number (14) 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 1361520005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533992353920).

1361520005104 is an abundant number, since it is smaller than the sum of its proper divisors (1706464702736).

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

1361520005104 is a wasteful number, since it uses less digits than its factorization.

1361520005104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140678 (or 140672 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 1361520005104 its reverse (4015000251631), we get a palindrome (5376520256735).

The spelling of 1361520005104 in words is "one trillion, three hundred sixty-one billion, five hundred twenty million, five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1481 1652 2962 3304 5924 6608 10367 11848 20734 23696 41468 82936 87379 139123 165872 174758 278246 349516 556492 611653 699032 973861 1112984 1223306 1398064 1947722 2225968 2446612 3895444 4893224 7790888 8208257 9786448 15581776 16416514 32833028 57457799 65666056 114915598 131332112 206041163 229831196 412082326 459662392 824164652 919324784 1442288141 1648329304 2884576282 3296658608 5769152564 11538305128 12156428617 23076610256 24312857234 48625714468 85095000319 97251428936 170190000638 194502857872 340380001276 680760002552 1361520005104