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47012646975 = 3527253594091
BaseRepresentation
bin101011110010001011…
…000001000000111111
311111100101120220200020
4223302023001000333
51232240214200400
633333004103223
73253005622500
oct536213010077
9144311526606
1047012646975
1118a35460558
129140534b13
134582b95b08
1423bda9aba7
15135249d2a0
hexaf22c103f

47012646975 has 144 divisors (see below), whose sum is σ = 93708109440. Its totient is φ = 20723539200.

The previous prime is 47012646973. The next prime is 47012647009. The reversal of 47012646975 is 57964621074.

It is a happy number.

It is a Cunningham number, because it is equal to 2168242-1.

It is not a de Polignac number, because 47012646975 - 21 = 47012646973 is a prime.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47012646971) 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 143 ways as a sum of consecutive naturals, for example, 11489680 + ... + 11493770.

It is an arithmetic number, because the mean of its divisors is an integer number (650750760).

Almost surely, 247012646975 is an apocalyptic number.

47012646975 is a deficient number, since it is larger than the sum of its proper divisors (46695462465).

47012646975 is a wasteful number, since it uses less digits than its factorization.

47012646975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 47012646975 in words is "forty-seven billion, twelve million, six hundred forty-six thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 53 59 75 105 147 159 175 177 245 265 295 371 413 525 735 795 885 1113 1225 1239 1325 1475 1855 2065 2597 2891 3127 3675 3975 4091 4425 5565 6195 7791 8673 9275 9381 10325 12273 12985 14455 15635 20455 21889 27825 28637 30975 38955 43365 46905 61365 64925 65667 72275 78175 85911 102275 109445 143185 153223 194775 200459 216823 216825 234525 241369 306825 328335 429555 459669 547225 601377 650469 715925 724107 766115 1002295 1084115 1206845 1517761 1641675 1689583 2147775 2298345 3006885 3252345 3620535 3830575 4553283 5011475 5068749 5420575 6034225 7588805 8447915 10624327 11491725 11827081 12792557 15034425 16261725 18102675 22766415 25343745 31872981 35481243 37944025 38377671 42239575 53121635 59135405 63962785 89547899 113832075 126718725 159364905 177406215 191888355 265608175 268643697 295677025 319813925 447739495 626835293 796824525 887031075 959441775 1343218485 1880505879 2238697475 3134176465 6716092425 9402529395 15670882325 47012646975