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13213337868 = 223712292
BaseRepresentation
bin11000100111001001…
…11000100100001100
31021002212020010000000
430103210320210030
5204030103302433
610023051404300
7645303342633
oct142344704414
937085203000
1013213337868
115670648345
122689153690
131327648c23
148d4c2051a
15525043113
hex31393890c

13213337868 has 72 divisors (see below), whose sum is σ = 34707966160. Its totient is φ = 4400862192.

The previous prime is 13213337821. The next prime is 13213337869. The reversal of 13213337868 is 86873331231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13213337868 is a `hidden beast` number, since 1 + 3 + 213 + 3 + 378 + 68 = 666.

It is a super-2 number, since 2×132133378682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13213337869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10750678 + ... + 10751906.

Almost surely, 213213337868 is an apocalyptic number.

13213337868 is a gapful number since it is divisible by the number (18) 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 13213337868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353983080).

13213337868 is an abundant number, since it is smaller than the sum of its proper divisors (21494628292).

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

13213337868 is an frugal number, since it uses more digits than its factorization.

13213337868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 1234 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 13213337868 in words is "thirteen billion, two hundred thirteen million, three hundred thirty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1229 1458 2187 2458 2916 3687 4374 4916 7374 8748 11061 14748 22122 33183 44244 66366 99549 132732 199098 298647 398196 597294 895941 1194588 1510441 1791882 2687823 3020882 3583764 4531323 5375646 6041764 9062646 10751292 13593969 18125292 27187938 40781907 54375876 81563814 122345721 163127628 244691442 367037163 489382884 734074326 1101111489 1468148652 2202222978 3303334467 4404445956 6606668934 13213337868