Search a number
-
+
29540119311 = 35376153861
BaseRepresentation
bin11011100000101110…
…100111001100001111
32211020200221112200000
4123200232213030033
5440444232304221
621323123135343
72064013604553
oct334056471417
984220845600
1029540119311
111158969994a
125884b14553
132a2a018c51
141603337863
15b7d587e26
hex6e0ba730f

29540119311 has 48 divisors (see below), whose sum is σ = 46191189408. Its totient is φ = 18846691200.

The previous prime is 29540119307. The next prime is 29540119313. The reversal of 29540119311 is 11391104592.

29540119311 is a `hidden beast` number, since 2 + 9 + 540 + 11 + 93 + 11 = 666.

It is not a de Polignac number, because 29540119311 - 22 = 29540119307 is a prime.

It is a super-2 number, since 2×295401193112 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29540119313) 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 47 ways as a sum of consecutive naturals, for example, 521521 + ... + 575381.

It is an arithmetic number, because the mean of its divisors is an integer number (962316446).

Almost surely, 229540119311 is an apocalyptic number.

29540119311 is a deficient number, since it is larger than the sum of its proper divisors (16651070097).

29540119311 is an equidigital number, since it uses as much as digits as its factorization.

29540119311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53974 (or 53962 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 29540119311 in words is "twenty-nine billion, five hundred forty million, one hundred nineteen thousand, three hundred eleven".

Divisors: 1 3 9 27 37 61 81 111 183 243 333 549 999 1647 2257 2997 4941 6771 8991 14823 20313 53861 60939 161583 182817 484749 548451 1454247 1992857 3285521 4362741 5978571 9856563 13088223 17935713 29569689 53807139 88709067 121564277 161421417 266127201 364692831 484264251 798381603 1094078493 3282235479 9846706437 29540119311