Search a number
-
+
35427309749 = 13177313116763
BaseRepresentation
bin100000111111101000…
…011101100010110101
310101102222201210201022
4200333220131202311
51040023342402444
624135230110525
72362631110226
oct407750354265
9111388653638
1035427309749
111402a87a197
126a4864b445
1334579078a0
141a0117d24d
15dc533a9ee
hex83fa1d8b5

35427309749 has 32 divisors (see below), whose sum is σ = 41265189504. Its totient is φ = 30123325440.

The previous prime is 35427309737. The next prime is 35427309763. The reversal of 35427309749 is 94790372453.

It is not a de Polignac number, because 35427309749 - 220 = 35426261173 is a prime.

It is a super-3 number, since 3×354273097493 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 35427309749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35427309719) 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 31 ways as a sum of consecutive naturals, for example, 2105042 + ... + 2121804.

It is an arithmetic number, because the mean of its divisors is an integer number (1289537172).

Almost surely, 235427309749 is an apocalyptic number.

It is an amenable number.

35427309749 is a deficient number, since it is larger than the sum of its proper divisors (5837879755).

35427309749 is a wasteful number, since it uses less digits than its factorization.

35427309749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16997.

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 35427309749 in words is "thirty-five billion, four hundred twenty-seven million, three hundred nine thousand, seven hundred forty-nine".

Divisors: 1 13 17 73 131 221 949 1241 1703 2227 9563 16133 16763 28951 124319 162571 217919 284971 1223699 2113423 2195953 3704623 15908087 20802883 28547389 37331201 160304569 270437479 485305613 2083959397 2725177673 35427309749