Search a number
-
+
29344492146 = 23103181262337
BaseRepresentation
bin11011010101000100…
…010110101001110010
32210202001211122122110
4123111010112221302
5440044142222041
621251454150150
72056120032144
oct332504265162
983661748573
1029344492146
1111499223302
12582b4b2356
1329c8633128
1415c5372c94
15b6b2e4516
hex6d5116a72

29344492146 has 32 divisors (see below), whose sum is σ = 59586403968. Its totient is φ = 9632977920.

The previous prime is 29344492091. The next prime is 29344492147. The reversal of 29344492146 is 64129444392.

It is a happy number.

It is a super-2 number, since 2×293444921462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29344492095 and 29344492104.

It is not an unprimeable number, because it can be changed into a prime (29344492147) 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, 19311 + ... + 243026.

It is an arithmetic number, because the mean of its divisors is an integer number (1862075124).

Almost surely, 229344492146 is an apocalyptic number.

29344492146 is an abundant number, since it is smaller than the sum of its proper divisors (30241911822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29344492146 is a wasteful number, since it uses less digits than its factorization.

29344492146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262626.

The product of its digits is 1492992, while the sum is 48.

The spelling of 29344492146 in words is "twenty-nine billion, three hundred forty-four million, four hundred ninety-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 103 181 206 309 362 543 618 1086 18643 37286 55929 111858 262337 524674 787011 1574022 27020711 47482997 54041422 81062133 94965994 142448991 162124266 284897982 4890748691 9781497382 14672246073 29344492146