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13055308656 = 24313145114419
BaseRepresentation
bin11000010100010100…
…00011001101110000
31020200211212101200020
430022022003031300
5203214124334111
65555244323440
7641344202235
oct141212031560
936624771606
1013055308656
11559a421695
122644243580
131300998510
148bbc4578c
15516229906
hex30a283370

13055308656 has 80 divisors (see below), whose sum is σ = 36348090240. Its totient is φ = 4013971200.

The previous prime is 13055308649. The next prime is 13055308657. The reversal of 13055308656 is 65680355031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055308657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898215 + ... + 912633.

It is an arithmetic number, because the mean of its divisors is an integer number (454351128).

Almost surely, 213055308656 is an apocalyptic number.

13055308656 is a gapful number since it is divisible by the number (16) 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 13055308656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174045120).

13055308656 is an abundant number, since it is smaller than the sum of its proper divisors (23292781584).

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

13055308656 is a wasteful number, since it uses less digits than its factorization.

13055308656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15894 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 13055308656 in words is "thirteen billion, fifty-five million, three hundred eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1451 2902 4353 5804 8706 11608 14419 17412 18863 23216 28838 34824 37726 43257 56589 57676 69648 75452 86514 113178 115352 150904 173028 187447 226356 230704 301808 346056 374894 452712 562341 692112 749788 905424 1124682 1499576 2249364 2999152 4498728 8997456 20921969 41843938 62765907 83687876 125531814 167375752 251063628 271985597 334751504 502127256 543971194 815956791 1004254512 1087942388 1631913582 2175884776 3263827164 4351769552 6527654328 13055308656