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34406913191 = 7163277108863
BaseRepresentation
bin100000000010110011…
…111101010010100111
310021210212200021210012
4200002303331102213
51030431132210231
623450055320435
72325430636160
oct400263752247
9107725607705
1034406913191
1113656895152
12680298011b
1333243a8941
141945842767
15d6597ae2b
hex802cfd4a7

34406913191 has 16 divisors (see below), whose sum is σ = 39706619904. Its totient is φ = 29204626464.

The previous prime is 34406913179. The next prime is 34406913197. The reversal of 34406913191 is 19131960443.

It is a cyclic number.

It is not a de Polignac number, because 34406913191 - 226 = 34339804327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34406913197) 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, 261626 + ... + 370488.

It is an arithmetic number, because the mean of its divisors is an integer number (2481663744).

Almost surely, 234406913191 is an apocalyptic number.

34406913191 is a deficient number, since it is larger than the sum of its proper divisors (5299706713).

34406913191 is a wasteful number, since it uses less digits than its factorization.

34406913191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109310.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 34406913191 in words is "thirty-four billion, four hundred six million, nine hundred thirteen thousand, one hundred ninety-one".

Divisors: 1 7 163 277 1141 1939 45151 108863 316057 762041 17744669 30155051 124212683 211085357 4915273313 34406913191