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5140067268 = 223729918821
BaseRepresentation
bin1001100100101111…
…10011001111000100
3111021012221110201210
410302113303033010
541011324123033
62210013251420
7241242564600
oct46227631704
914235843653
105140067268
1121a8485686
12bb5493b70
1363bb9072b
1436a922500
152013c2d63
hex1325f33c4

5140067268 has 72 divisors (see below), whose sum is σ = 13967272704. Its totient is φ = 1466942400.

The previous prime is 5140067227. The next prime is 5140067279. The reversal of 5140067268 is 8627600415.

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 23 ways as a sum of consecutive naturals, for example, 578298 + ... + 587118.

Almost surely, 25140067268 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 5140067268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983636352).

5140067268 is an abundant number, since it is smaller than the sum of its proper divisors (8827205436).

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

5140067268 is a wasteful number, since it uses less digits than its factorization.

5140067268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 5140067268 is about 71694.2624482601. The cubic root of 5140067268 is about 1725.7965675395.

The spelling of 5140067268 in words is "five billion, one hundred forty million, sixty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 991 1982 2973 3964 5946 6937 8821 11892 13874 17642 20811 26463 27748 35284 41622 48559 52926 61747 83244 97118 105852 123494 145677 185241 194236 246988 291354 370482 432229 582708 740964 864458 1296687 1728916 2593374 5186748 8741611 17483222 26224833 34966444 52449666 61191277 104899332 122382554 183573831 244765108 367147662 428338939 734295324 856677878 1285016817 1713355756 2570033634 5140067268