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5005442442 = 23711134120327
BaseRepresentation
bin1001010100101100…
…01111110110001010
3110220211121211012010
410222112033312022
540222343124232
62144404000350
7235016362440
oct45226176612
913824554163
105005442442
112139494aa0
12b783900b6
1361a015b80
14356abab90
151e467e0cc
hex12a58fd8a

5005442442 has 128 divisors (see below), whose sum is σ = 13769699328. Its totient is φ = 1170777600.

The previous prime is 5005442437. The next prime is 5005442461. The reversal of 5005442442 is 2442445005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236083 + ... + 256409.

It is an arithmetic number, because the mean of its divisors is an integer number (107575776).

Almost surely, 25005442442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005442442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884849664).

5005442442 is an abundant number, since it is smaller than the sum of its proper divisors (8764256886).

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

5005442442 is a wasteful number, since it uses less digits than its factorization.

5005442442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20404.

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 5005442442 is about 70749.1515284812. The cubic root of 5005442442 is about 1710.5961513633.

Adding to 5005442442 its reverse (2442445005), we get a palindrome (7447887447).

The spelling of 5005442442 in words is "five billion, five million, four hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 41 42 66 77 78 82 91 123 143 154 182 231 246 273 286 287 429 451 462 533 546 574 858 861 902 1001 1066 1353 1599 1722 2002 2706 3003 3157 3198 3731 5863 6006 6314 7462 9471 11193 11726 17589 18942 20327 22386 35178 40654 41041 60981 82082 121962 123123 142289 223597 246246 264251 284578 426867 447194 528502 670791 792753 833407 853734 1341582 1565179 1585506 1666814 1849757 2500221 2906761 3130358 3699514 4695537 5000442 5549271 5813522 5833849 8720283 9167477 9391074 10834291 11098542 11667698 17440566 17501547 18334954 20347327 21668582 27502431 32502873 35003094 40694654 55004862 61041981 64172339 65005746 75840037 119177201 122083962 128344678 151680074 192517017 227520111 238354402 357531603 385034034 455040222 715063206 834240407 1668480814 2502721221 5005442442