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1313435445006 = 232997127612751
BaseRepresentation
bin10011000111001110110…
…110100110011100001110
311122120012120111202221110
4103013032312212130032
5133004403433220011
62443214531512450
7163615104035106
oct23071666463416
94576176452843
101313435445006
11467030081953
12192676a58726
1396b1976abb9
14477dbaa4206
15242736dcba6
hex131ceda670e

1313435445006 has 64 divisors (see below), whose sum is σ = 2767089991680. Its totient is φ = 415062144000.

The previous prime is 1313435444987. The next prime is 1313435445059. The reversal of 1313435445006 is 6005445343131.

It is a super-2 number, since 2×13134354450062 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837131 + ... + 2449881.

It is an arithmetic number, because the mean of its divisors is an integer number (43235781120).

Almost surely, 21313435445006 is an apocalyptic number.

1313435445006 is an abundant number, since it is smaller than the sum of its proper divisors (1453654546674).

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

1313435445006 is a wasteful number, since it uses less digits than its factorization.

1313435445006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613009.

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 1313435445006 in words is "one trillion, three hundred thirteen billion, four hundred thirty-five million, four hundred forty-five thousand, six".

Divisors: 1 2 3 6 29 58 87 97 127 174 194 254 291 381 582 762 2813 3683 5626 7366 8439 11049 12319 16878 22098 24638 36957 73914 357251 612751 714502 1071753 1225502 1838253 2143506 3676506 17769779 35539558 53309337 59436847 77819377 106618674 118873694 155638754 178310541 233458131 356621082 466916262 1723668563 2256761933 3447337126 4513523866 5171005689 6770285799 7548479569 10342011378 13540571598 15096959138 22645438707 45290877414 218905907501 437811815002 656717722503 1313435445006