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24447074442 = 23710112774513
BaseRepresentation
bin10110110001001010…
…001100000010001010
32100002202111001112120
4112301022030002022
5400031422340232
615121505352110
71523551463340
oct266112140212
970082431476
1024447074442
11a40581095a
1248a3338636
1323c7b1052b
14127cb75990
159813a292c
hex5b128c08a

24447074442 has 64 divisors (see below), whose sum is σ = 56488990464. Its totient is φ = 6908774400.

The previous prime is 24447074429. The next prime is 24447074467.

24447074442 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×244470744422 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 24447074394 and 24447074403.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5414778 + ... + 5419290.

It is an arithmetic number, because the mean of its divisors is an integer number (882640476).

Almost surely, 224447074442 is an apocalyptic number.

24447074442 is an abundant number, since it is smaller than the sum of its proper divisors (32041916022).

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

24447074442 is a wasteful number, since it uses less digits than its factorization.

24447074442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903.

The product of its (nonzero) digits is 802816, while the sum is 42.

The spelling of 24447074442 in words is "twenty-four billion, four hundred forty-seven million, seventy-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 101 202 303 606 707 1277 1414 2121 2554 3831 4242 4513 7662 8939 9026 13539 17878 26817 27078 31591 53634 63182 94773 128977 189546 257954 386931 455813 773862 902839 911626 1367439 1805678 2708517 2734878 3190691 5417034 5763101 6381382 9572073 11526202 17289303 19144146 34578606 40341707 80683414 121025121 242050242 582073201 1164146402 1746219603 3492439206 4074512407 8149024814 12223537221 24447074442