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29057413768 = 23233110394903
BaseRepresentation
bin11011000011111101…
…001111001010001000
32210000001122120010221
4123003331033022020
5434002144220033
621203201115424
72046032641015
oct330375171210
983001576127
1029057413768
1111361175049
12576b328b74
13298100a976
1415991a470c
15b50ed912d
hex6c3f4f288

29057413768 has 64 divisors (see below), whose sum is σ = 58753843200. Its totient is φ = 13433048640.

The previous prime is 29057413753. The next prime is 29057413841. The reversal of 29057413768 is 86731475092.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5924005 + ... + 5928907.

It is an arithmetic number, because the mean of its divisors is an integer number (918028800).

It is a 1-persistent number, because it is pandigital, but 2⋅29057413768 = 58114827536 is not.

Almost surely, 229057413768 is an apocalyptic number.

It is an amenable number.

29057413768 is an abundant number, since it is smaller than the sum of its proper divisors (29696429432).

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

29057413768 is a wasteful number, since it uses less digits than its factorization.

29057413768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 29057413768 in words is "twenty-nine billion, fifty-seven million, four hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 713 1039 1426 2078 2852 4156 4903 5704 8312 9806 19612 23897 32209 39224 47794 64418 95588 112769 128836 151993 191176 225538 257672 303986 451076 607972 740807 902152 1215944 1481614 2963228 3495839 5094217 5926456 6991678 10188434 13983356 20376868 27966712 40753736 117166991 157920727 234333982 315841454 468667964 631682908 937335928 1263365816 3632176721 7264353442 14528706884 29057413768