Search a number
-
+
29675149057 = 10112719311987
BaseRepresentation
bin11011101000110001…
…101101011100000001
32211121010000202122201
4123220301231130001
5441233314232212
621344345233201
72100243414361
oct335061553401
984533022581
1029675149057
1111648936784
125902192801
132a4bca5bc8
1416172469a1
15b8a35bb57
hex6e8c6d701

29675149057 has 16 divisors (see below), whose sum is σ = 30363973632. Its totient is φ = 28996531200.

The previous prime is 29675149039. The next prime is 29675149103. The reversal of 29675149057 is 75094157692.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 29675149057 - 219 = 29674624769 is a prime.

It is a super-2 number, since 2×296751490572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29675148989 and 29675149007.

It is not an unprimeable number, because it can be changed into a prime (29675149037) 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, 2469618 + ... + 2481604.

It is an arithmetic number, because the mean of its divisors is an integer number (1897748352).

Almost surely, 229675149057 is an apocalyptic number.

It is an amenable number.

29675149057 is a deficient number, since it is larger than the sum of its proper divisors (688824575).

29675149057 is a wasteful number, since it uses less digits than its factorization.

29675149057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408.

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 29675149057 in words is "twenty-nine billion, six hundred seventy-five million, one hundred forty-nine thousand, fifty-seven".

Divisors: 1 101 127 193 11987 12827 19493 24511 1210687 1522349 2313491 2475611 153757249 233662591 293813357 29675149057