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29382238392 = 23313439214519
BaseRepresentation
bin11011010111010100…
…010110000010111000
32210211200212100202120
4123113110112002320
5440133323112032
621255323201240
72060055622413
oct332724260270
983750770676
1029382238392
1111508564651
125840076220
132a033baba0
1415ca39ab7a
15b6e79d62c
hex6d75160b8

29382238392 has 64 divisors (see below), whose sum is σ = 79286592000. Its totient is φ = 9020052864.

The previous prime is 29382238373. The next prime is 29382238397. The reversal of 29382238392 is 29383228392.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29382238397) 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, 29709 + ... + 244227.

It is an arithmetic number, because the mean of its divisors is an integer number (1238853000).

Almost surely, 229382238392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29382238392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39643296000).

29382238392 is an abundant number, since it is smaller than the sum of its proper divisors (49904353608).

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

29382238392 is a wasteful number, since it uses less digits than its factorization.

29382238392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214980 (or 214976 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 29382238392 in words is "twenty-nine billion, three hundred eighty-two million, two hundred thirty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 439 878 1317 1756 2634 3512 5268 5707 10536 11414 17121 22828 34242 45656 68484 136968 214519 429038 643557 858076 1287114 1716152 2574228 2788747 5148456 5577494 8366241 11154988 16732482 22309976 33464964 66929928 94173841 188347682 282521523 376695364 565043046 753390728 1130086092 1224259933 2260172184 2448519866 3672779799 4897039732 7345559598 9794079464 14691119196 29382238392