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29145908771 = 753191411311
BaseRepresentation
bin11011001001001110…
…110100011000100011
32210020020011120110122
4123021032310120203
5434142323040041
621220041550455
72051156064650
oct331116643043
983206146418
1029145908771
11113a7118711
125794aa542b
132996453885
1415a6c3cc27
15b58b69c4b
hex6c93b4623

29145908771 has 16 divisors (see below), whose sum is σ = 34115862528. Its totient is φ = 24382456800.

The previous prime is 29145908761. The next prime is 29145908837. The reversal of 29145908771 is 17780954192.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29145908771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29145908761) 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, 134795 + ... + 276516.

It is an arithmetic number, because the mean of its divisors is an integer number (2132241408).

Almost surely, 229145908771 is an apocalyptic number.

29145908771 is a deficient number, since it is larger than the sum of its proper divisors (4969953757).

29145908771 is a wasteful number, since it uses less digits than its factorization.

29145908771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411562.

The product of its (nonzero) digits is 1270080, while the sum is 53.

The spelling of 29145908771 in words is "twenty-nine billion, one hundred forty-five million, nine hundred eight thousand, seven hundred seventy-one".

Divisors: 1 7 53 191 371 1337 10123 70861 411311 2879177 21799483 78560401 152596381 549922807 4163701253 29145908771