Search a number
-
+
12765406142 = 247833115261
BaseRepresentation
bin10111110001110000…
…01010001110111110
31012221122100211012002
423320320022032332
5202120420444032
65510410542302
7631224106346
oct137070121676
935848324162
1012765406142
115460814635
122583137992
1312858c4778
1489153dd26
154eaa62862
hex2f8e0a3be

12765406142 has 32 divisors (see below), whose sum is σ = 19858535424. Its totient is φ = 6150623200.

The previous prime is 12765406103. The next prime is 12765406231. The reversal of 12765406142 is 24160456721.

It is a happy number.

It is a super-2 number, since 2×127654061422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12765406096 and 12765406105.

It is a congruent number.

It is an unprimeable number.

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, 2423792 + ... + 2429052.

It is an arithmetic number, because the mean of its divisors is an integer number (620579232).

Almost surely, 212765406142 is an apocalyptic number.

12765406142 is a deficient number, since it is larger than the sum of its proper divisors (7093129282).

12765406142 is a wasteful number, since it uses less digits than its factorization.

12765406142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 12765406142 in words is "twelve billion, seven hundred sixty-five million, four hundred six thousand, one hundred forty-two".

Divisors: 1 2 47 83 94 166 311 622 3901 5261 7802 10522 14617 25813 29234 51626 247267 436663 494534 873326 1213211 1636171 2426422 3272342 20523161 41046322 76900037 135802193 153800074 271604386 6382703071 12765406142