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29403243432 = 2333197164533
BaseRepresentation
bin11011011000100100…
…011110001110101000
32210220011101112021000
4123120210132032220
5440204212242212
621301353315000
72060432305533
oct333044361650
983804345230
1029403243432
1111519400a92
125847105a60
132a078638c4
1415cd0a7a1a
15b7154c1dc
hex6d891e3a8

29403243432 has 64 divisors (see below), whose sum is σ = 85974408000. Its totient is φ = 9285233472.

The previous prime is 29403243421. The next prime is 29403243433. The reversal of 29403243432 is 23434230492.

29403243432 is a `hidden beast` number, since 2 + 9 + 403 + 243 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×294032434322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29403243433) 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 15 ways as a sum of consecutive naturals, for example, 3578163 + ... + 3586370.

It is an arithmetic number, because the mean of its divisors is an integer number (1343350125).

Almost surely, 229403243432 is an apocalyptic number.

It is an amenable number.

29403243432 is an abundant number, since it is smaller than the sum of its proper divisors (56571164568).

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

29403243432 is a wasteful number, since it uses less digits than its factorization.

29403243432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164567 (or 7164557 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 29403243432 in words is "twenty-nine billion, four hundred three million, two hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 7164533 14329066 21493599 28658132 42987198 57316264 64480797 85974396 128961594 136126127 171948792 193442391 257923188 272252254 386884782 408378381 515846376 544504508 773769564 816756762 1089009016 1225135143 1547539128 1633513524 2450270286 3267027048 3675405429 4900540572 7350810858 9801081144 14701621716 29403243432