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13057056348 = 223719107157487
BaseRepresentation
bin11000010100100001…
…01101111001011100
31020200222011012001120
430022100231321130
5203220101300343
65555350010540
7641365101450
oct141220557134
936628135046
1013057056348
1155a0405766
122644946a50
13130115ab5b
148bc17c660
15516472683
hex30a42de5c

13057056348 has 192 divisors, whose sum is σ = 37305999360. Its totient is φ = 3471766272.

The previous prime is 13057056347. The next prime is 13057056379. The reversal of 13057056348 is 84365075031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057056347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26810961 + ... + 26811447.

It is an arithmetic number, because the mean of its divisors is an integer number (194302080).

Almost surely, 213057056348 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 13057056348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18652999680).

13057056348 is an abundant number, since it is smaller than the sum of its proper divisors (24248943012).

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

13057056348 is a wasteful number, since it uses less digits than its factorization.

13057056348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 13057056348 in words is "thirteen billion, fifty-seven million, fifty-six thousand, three hundred forty-eight".