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13024524042 = 2322360751829
BaseRepresentation
bin11000010000101001…
…00111011100001010
31020121200221101010100
430020110213130022
5203133234232132
65552224430230
7640521425205
oct141024473412
936550841110
1013024524042
115584005762
122635a78376
1312c74aa37a
148b7b1093c
1551369837c
hex30852770a

13024524042 has 48 divisors (see below), whose sum is σ = 29495831040. Its totient is φ = 4145825376.

The previous prime is 13024524017. The next prime is 13024524053. The reversal of 13024524042 is 24042542031.

13024524042 is a `hidden beast` number, since 13 + 0 + 245 + 2 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13024523997 and 13024524015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225384 + ... + 277212.

It is an arithmetic number, because the mean of its divisors is an integer number (614496480).

Almost surely, 213024524042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024524042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747915520).

13024524042 is an abundant number, since it is smaller than the sum of its proper divisors (16471306998).

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

13024524042 is a wasteful number, since it uses less digits than its factorization.

13024524042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52467 (or 52464 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 13024524042 in words is "thirteen billion, twenty-four million, five hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 607 1214 1821 3642 5463 10926 13961 27922 41883 51829 83766 103658 125649 155487 251298 310974 466461 932922 1192067 2384134 3576201 7152402 10728603 21457206 31460203 62920406 94380609 188761218 283141827 566283654 723584669 1447169338 2170754007 4341508014 6512262021 13024524042