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12420151761 = 327757725903
BaseRepresentation
bin10111001000100110…
…00111100111010001
31012001120201002012210
423210103013213101
5200414024324021
65412234542333
7616532355663
oct134423074721
935046632183
1012420151761
1152a3940936
1224a75979a9
13122c210634
1485b74a533
154ca5b4e76
hex2e44c79d1

12420151761 has 16 divisors (see below), whose sum is σ = 16649433344. Its totient is φ = 8235592704.

The previous prime is 12420151759. The next prime is 12420151787. The reversal of 12420151761 is 16715102421.

12420151761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12420151761 - 21 = 12420151759 is a prime.

It is a super-2 number, since 2×124201517612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12420153761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 466536 + ... + 492438.

It is an arithmetic number, because the mean of its divisors is an integer number (1040589584).

Almost surely, 212420151761 is an apocalyptic number.

It is an amenable number.

12420151761 is a deficient number, since it is larger than the sum of its proper divisors (4229281583).

12420151761 is a wasteful number, since it uses less digits than its factorization.

12420151761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26760.

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 12420151761 in words is "twelve billion, four hundred twenty million, one hundred fifty-one thousand, seven hundred sixty-one".

Divisors: 1 3 277 577 831 1731 25903 77709 159829 479487 7175131 14946031 21525393 44838093 4140050587 12420151761