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29420306901 = 3241973892113
BaseRepresentation
bin11011011001100101…
…100100000111010101
32210221100111102221100
4123121211210013111
5440223044310101
621303203140313
72061030324336
oct333145440725
983840442840
1029420306901
1111527aa6027
125850974699
132a0b25952b
1415d146a28d
15b72cbce86
hex6d99641d5

29420306901 has 48 divisors (see below), whose sum is σ = 44115205680. Its totient is φ = 18880266240.

The previous prime is 29420306899. The next prime is 29420306921. The reversal of 29420306901 is 10960302492.

It can be written as a sum of positive squares in 8 ways, for example, as 15841998225 + 13578308676 = 125865^2 + 116526^2 .

It is not a de Polignac number, because 29420306901 - 21 = 29420306899 is a prime.

It is a super-3 number, since 3×294203069013 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29420306921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13922421 + ... + 13924533.

It is an arithmetic number, because the mean of its divisors is an integer number (919066785).

Almost surely, 229420306901 is an apocalyptic number.

It is an amenable number.

29420306901 is a deficient number, since it is larger than the sum of its proper divisors (14694898779).

29420306901 is a wasteful number, since it uses less digits than its factorization.

29420306901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 29420306901 in words is "twenty-nine billion, four hundred twenty million, three hundred six thousand, nine hundred one".

Divisors: 1 3 9 41 97 123 291 369 389 873 1167 2113 3501 3977 6339 11931 15949 19017 35793 37733 47847 86633 113199 143541 204961 259899 339597 614883 779697 821957 1547053 1844649 2465871 4641159 7397613 8403401 13923477 25210203 33700237 75630609 79729829 101100711 239189487 303302133 717568461 3268922989 9806768967 29420306901