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29431460320 = 255433424819
BaseRepresentation
bin11011011010010000…
…000111000111100000
32210222010111002112221
4123122100013013200
5440233423212240
621304242200424
72061224166523
oct333220070740
983863432487
1029431460320
1111533323829
125854653114
132a106630a2
1415d2b30bba
15b73c72a4a
hex6da4071e0

29431460320 has 48 divisors (see below), whose sum is σ = 69692570640. Its totient is φ = 11745368064.

The previous prime is 29431460287. The next prime is 29431460321. The reversal of 29431460320 is 2306413492.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29431460321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143130 + ... + 281689.

It is an arithmetic number, because the mean of its divisors is an integer number (1451928555).

Almost surely, 229431460320 is an apocalyptic number.

29431460320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29431460320 is an abundant number, since it is smaller than the sum of its proper divisors (40261110320).

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

29431460320 is a wasteful number, since it uses less digits than its factorization.

29431460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425267 (or 425259 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 29431460320 in words is "twenty-nine billion, four hundred thirty-one million, four hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 433 866 1732 2165 3464 4330 6928 8660 13856 17320 34640 69280 424819 849638 1699276 2124095 3398552 4248190 6797104 8496380 13594208 16992760 33985520 67971040 183946627 367893254 735786508 919733135 1471573016 1839466270 2943146032 3678932540 5886292064 7357865080 14715730160 29431460320