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29534233344 = 283721171347
BaseRepresentation
bin11011100000011000…
…001010001100000000
32211020021212111122020
4123200120022030000
5440441230431334
621322353041440
72063612561400
oct334030121400
984207774566
1029534233344
1111586339710
125882b56280
132a28a37b25
141602644800
15b7ccc3e49
hex6e060a300

29534233344 has 216 divisors, whose sum is σ = 99751353408. Its totient is φ = 7671121920.

The previous prime is 29534233259. The next prime is 29534233357. The reversal of 29534233344 is 44333243592.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29534233296 and 29534233305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378279 + ... + 449625.

Almost surely, 229534233344 is an apocalyptic number.

29534233344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29534233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49875676704).

29534233344 is an abundant number, since it is smaller than the sum of its proper divisors (70217120064).

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

29534233344 is a wasteful number, since it uses less digits than its factorization.

29534233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71391 (or 71370 counting only the distinct ones).

The product of its digits is 933120, while the sum is 42.

The spelling of 29534233344 in words is "twenty-nine billion, five hundred thirty-four million, two hundred thirty-three thousand, three hundred forty-four".