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47083186740 = 223517192127867
BaseRepresentation
bin101011110110011000…
…000110101000110100
311111112022022201001010
4223312120012220310
51232411243433430
633344004032220
73254523325002
oct536630065064
9144468281033
1047083186740
1118a71260087
129160092670
134594693215
1423c91bda72
151358783cb0
hexaf6606a34

47083186740 has 144 divisors (see below), whose sum is σ = 147322348992. Its totient is φ = 11194924032.

The previous prime is 47083186691. The next prime is 47083186747. The reversal of 47083186740 is 4768138074.

It is a self number, because there is not a number n which added to its sum of digits gives 47083186740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47083186747) 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 47 ways as a sum of consecutive naturals, for example, 304287 + ... + 432153.

It is an arithmetic number, because the mean of its divisors is an integer number (1023071868).

Almost surely, 247083186740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47083186740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73661174496).

47083186740 is an abundant number, since it is smaller than the sum of its proper divisors (100239162252).

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

47083186740 is a wasteful number, since it uses less digits than its factorization.

47083186740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127934 (or 127913 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 47083186740 in words is "forty-seven billion, eighty-three million, one hundred eighty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 361 380 510 570 646 722 969 1020 1083 1140 1292 1444 1615 1805 1938 2166 3230 3610 3876 4332 4845 5415 6137 6460 7220 9690 10830 12274 18411 19380 21660 24548 30685 36822 61370 73644 92055 122740 127867 184110 255734 368220 383601 511468 639335 767202 1278670 1534404 1918005 2173739 2429473 2557340 3836010 4347478 4858946 6521217 7288419 7672020 8694956 9717892 10868695 12147365 13042434 14576838 21737390 24294730 26084868 29153676 32606085 36442095 41301041 43474780 46159987 48589460 65212170 72884190 82602082 92319974 123903123 130424340 138479961 145768380 165204164 184639948 206505205 230799935 247806246 276959922 413010410 461599870 495612492 553919844 619515615 692399805 784719779 826020820 923199740 1239031230 1384799610 1569439558 2354159337 2478062460 2769599220 3138879116 3923598895 4708318674 7847197790 9416637348 11770796685 15694395580 23541593370 47083186740