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29933049234 = 23111765940483
BaseRepresentation
bin11011111000001001…
…100001010110010010
32212021002022110012010
4123320021201112102
5442300330033414
621430121043350
72106524502054
oct337011412622
985232273163
1029933049234
1111770475a20
125974626556
132a9055346a
14163d5bb8d4
15ba2d01959
hex6f8261592

29933049234 has 64 divisors (see below), whose sum is σ = 69256788480. Its totient is φ = 8523889920.

The previous prime is 29933049193. The next prime is 29933049239. The reversal of 29933049234 is 43294033992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29933049239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719157 + ... + 759639.

It is an arithmetic number, because the mean of its divisors is an integer number (1082137320).

Almost surely, 229933049234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29933049234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34628394240).

29933049234 is an abundant number, since it is smaller than the sum of its proper divisors (39323739246).

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

29933049234 is a wasteful number, since it uses less digits than its factorization.

29933049234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41175.

The product of its (nonzero) digits is 1259712, while the sum is 48.

The spelling of 29933049234 in words is "twenty-nine billion, nine hundred thirty-three million, forty-nine thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 659 1122 1318 1977 3954 7249 11203 14498 21747 22406 33609 40483 43494 67218 80966 121449 123233 242898 246466 369699 445313 688211 739398 890626 1335939 1376422 2064633 2671878 4129266 7570321 15140642 22710963 26678297 45421926 53356594 80034891 160069782 293461267 453531049 586922534 880383801 907062098 1360593147 1760767602 2721186294 4988841539 9977683078 14966524617 29933049234