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13243453056 = 273293712269
BaseRepresentation
bin11000101010101111…
…10000111010000000
31021011221220010021100
430111113300322000
5204110310444211
610030045054400
7646120331211
oct142527607200
937157803240
1013243453056
115686647329
122697257400
131330961472
148d8c1d408
155279e1156
hex3155f0e80

13243453056 has 96 divisors (see below), whose sum is σ = 38153196900. Its totient is φ = 4409413632.

The previous prime is 13243453049. The next prime is 13243453057. The reversal of 13243453056 is 65035434231.

13243453056 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 345 + 305 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13243406400 + 46656 = 115080^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13243453056.

It is not an unprimeable number, because it can be changed into a prime (13243453057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1073290 + ... + 1085558.

Almost surely, 213243453056 is an apocalyptic number.

13243453056 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 13243453056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19076598450).

13243453056 is an abundant number, since it is smaller than the sum of its proper divisors (24909743844).

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

13243453056 is a wasteful number, since it uses less digits than its factorization.

13243453056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13226 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13243453056 its reverse (65035434231), we get a palindrome (78278887287).

The spelling of 13243453056 in words is "thirteen billion, two hundred forty-three million, four hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 937 1152 1874 2811 3748 5622 7496 8433 11244 12269 14992 16866 22488 24538 29984 33732 36807 44976 49076 59968 67464 73614 89952 98152 110421 119936 134928 147228 179904 196304 220842 269856 294456 359808 392608 441684 539712 588912 785216 883368 1079424 1177824 1570432 1766736 2355648 3533472 4711296 7066944 11496053 14133888 22992106 34488159 45984212 68976318 91968424 103464477 137952636 183936848 206928954 275905272 367873696 413857908 551810544 735747392 827715816 1103621088 1471494784 1655431632 2207242176 3310863264 4414484352 6621726528 13243453056