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29432670768 = 2432503406349
BaseRepresentation
bin11011011010010100…
…101110101000110000
32210222012202120222100
4123122110232220300
5440234230431033
621304324140400
72061240400524
oct333224565060
983865676870
1029432670768
1111533a801a6
125854b37700
132a10998027
1415d2d67d84
15b73e11513
hex6da52ea30

29432670768 has 60 divisors (see below), whose sum is σ = 82534561200. Its totient is φ = 9791361408.

The previous prime is 29432670767. The next prime is 29432670791. The reversal of 29432670768 is 86707623492.

It is not an unprimeable number, because it can be changed into a prime (29432670767) 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 11 ways as a sum of consecutive naturals, for example, 130743 + ... + 275606.

It is an arithmetic number, because the mean of its divisors is an integer number (1375576020).

Almost surely, 229432670768 is an apocalyptic number.

It is an amenable number.

29432670768 is an abundant number, since it is smaller than the sum of its proper divisors (53101890432).

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

29432670768 is a wasteful number, since it uses less digits than its factorization.

29432670768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406866 (or 406857 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 29432670768 in words is "twenty-nine billion, four hundred thirty-two million, six hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 503 1006 1509 2012 3018 4024 4527 6036 8048 9054 12072 18108 24144 36216 72432 406349 812698 1219047 1625396 2438094 3250792 3657141 4876188 6501584 7314282 9752376 14628564 19504752 29257128 58514256 204393547 408787094 613180641 817574188 1226361282 1635148376 1839541923 2452722564 3270296752 3679083846 4905445128 7358167692 9810890256 14716335384 29432670768