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47242914147 = 33112137115667
BaseRepresentation
bin101011111111111001…
…011010100101100011
311111221102212200212000
4223333321122211203
51233223141223042
633411511335043
73261503100402
oct537771324543
9144842780760
1047242914147
1119043436700
1291a5681483
1345bb7b9890
1424024bb639
1513677d574c
hexaffe5a963

47242914147 has 96 divisors (see below), whose sum is σ = 84020590080. Its totient is φ = 26055691200.

The previous prime is 47242914113. The next prime is 47242914149. The reversal of 47242914147 is 74141924274.

47242914147 is a `hidden beast` number, since 4 + 72 + 429 + 14 + 147 = 666.

It is not a de Polignac number, because 47242914147 - 26 = 47242914083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47242914149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3007608 + ... + 3023274.

It is an arithmetic number, because the mean of its divisors is an integer number (875214480).

Almost surely, 247242914147 is an apocalyptic number.

47242914147 is a deficient number, since it is larger than the sum of its proper divisors (36777675933).

47242914147 is a wasteful number, since it uses less digits than its factorization.

47242914147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15765 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 47242914147 in words is "forty-seven billion, two hundred forty-two million, nine hundred fourteen thousand, one hundred forty-seven".

Divisors: 1 3 9 11 13 27 33 39 71 99 117 121 143 213 297 351 363 429 639 781 923 1089 1287 1573 1917 2343 2769 3267 3861 4719 7029 8307 8591 10153 14157 15667 21087 24921 25773 30459 42471 47001 77319 91377 111683 141003 172337 203671 231957 274131 335049 423009 517011 611013 1005147 1112357 1551033 1833039 1895707 2240381 3015441 3337071 4653099 5499117 5687121 6721143 10011213 12235927 14460641 17061363 20163429 24644191 30033639 36707781 43381923 51184089 60490287 73932573 110123343 130145769 134595197 159067051 221797719 330370029 390437307 403785591 477201153 665393157 1211356773 1431603459 1749737561 3634070319 4294810377 5249212683 15747638049 47242914147