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13373519664 = 2431919375979
BaseRepresentation
bin11000111010001111…
…11011011100110000
31021112000122012010010
430131013323130300
5204342110112124
610051012534520
7652260020151
oct143507733460
937460565103
1013373519664
11574300429a
122712921440
1313518a135b
1490c1d9928
15534134529
hex31d1fb730

13373519664 has 80 divisors (see below), whose sum is σ = 36555497600. Its totient is φ = 4201279488.

The previous prime is 13373519641. The next prime is 13373519713. The reversal of 13373519664 is 46691537331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138027 + ... + 214005.

It is an arithmetic number, because the mean of its divisors is an integer number (456943720).

Almost surely, 213373519664 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 13373519664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277748800).

13373519664 is an abundant number, since it is smaller than the sum of its proper divisors (23181977936).

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

13373519664 is a wasteful number, since it uses less digits than its factorization.

13373519664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76202 (or 76196 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The spelling of 13373519664 in words is "thirteen billion, three hundred seventy-three million, five hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 304 386 456 579 772 912 1158 1544 2316 3088 3667 4632 7334 9264 11001 14668 22002 29336 44004 58672 75979 88008 151958 176016 227937 303916 455874 607832 911748 1215664 1443601 1823496 2887202 3646992 4330803 5774404 8661606 11548808 14663947 17323212 23097616 29327894 34646424 43991841 58655788 69292848 87983682 117311576 175967364 234623152 278614993 351934728 557229986 703869456 835844979 1114459972 1671689958 2228919944 3343379916 4457839888 6686759832 13373519664