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1257428901716 = 2213316711642429
BaseRepresentation
bin10010010011000100100…
…110100101111101010100
311110012122101022120221022
4102103010212211331110
5131100203244323331
62401353241140312
7156563155212251
oct22230446457524
94405571276838
101257428901716
114452aa919a39
1218384648a698
1391762481060
1444c07740428
1522a9686b67b
hex124c49a5f54

1257428901716 has 48 divisors (see below), whose sum is σ = 2482724912640. Its totient is φ = 553248178560.

The previous prime is 1257428901713. The next prime is 1257428901719. The reversal of 1257428901716 is 6171098247521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1257428901713) and next prime (1257428901719).

It is a super-2 number, since 2×12574289017162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257428901713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5713211 + ... + 5929218.

It is an arithmetic number, because the mean of its divisors is an integer number (51723435680).

Almost surely, 21257428901716 is an apocalyptic number.

It is an amenable number.

1257428901716 is a deficient number, since it is larger than the sum of its proper divisors (1225296010924).

1257428901716 is a wasteful number, since it uses less digits than its factorization.

1257428901716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642544 (or 11642542 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 53.

The spelling of 1257428901716 in words is "one trillion, two hundred fifty-seven billion, four hundred twenty-eight million, nine hundred one thousand, seven hundred sixteen".

Divisors: 1 2 4 13 26 31 52 62 67 124 134 268 403 806 871 1612 1742 2077 3484 4154 8308 27001 54002 108004 11642429 23284858 46569716 151351577 302703154 360915299 605406308 721830598 780042743 1443661196 1560085486 3120170972 4691898887 9383797774 10140555659 18767595548 20281111318 24181325033 40562222636 48362650066 96725300132 314357225429 628714450858 1257428901716