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47060239086 = 23471711632099
BaseRepresentation
bin101011110101000000…
…100100001011101110
311111110201010211210000
4223311000210023232
51232334410122321
633341424125130
73254124301140
oct536500441356
9144421124700
1047060239086
1118a5a307183
1291544667a6
13458c9ba223
1423c6128c90
15135674e826
hexaf50242ee

47060239086 has 160 divisors (see below), whose sum is σ = 127773676800. Its totient is φ = 12637949184.

The previous prime is 47060239043. The next prime is 47060239087. The reversal of 47060239086 is 68093206074.

47060239086 is a `hidden beast` number, since 4 + 7 + 0 + 602 + 39 + 0 + 8 + 6 = 666.

It is a super-2 number, since 2×470602390862 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47060239087) 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 79 ways as a sum of consecutive naturals, for example, 22419265 + ... + 22421363.

It is an arithmetic number, because the mean of its divisors is an integer number (798585480).

Almost surely, 247060239086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47060239086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63886838400).

47060239086 is an abundant number, since it is smaller than the sum of its proper divisors (80713437714).

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

47060239086 is a wasteful number, since it uses less digits than its factorization.

47060239086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 47060 and 239086, that added together give a triangular number (286146 = T756).

The spelling of 47060239086 in words is "forty-seven billion, sixty million, two hundred thirty-nine thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1163 1377 2099 2142 2326 2754 3213 3489 4198 6297 6426 6978 8141 9639 10467 12594 14693 16282 18891 19278 19771 20934 24423 29386 31401 35683 37782 39542 44079 48846 56673 59313 62802 71366 73269 88158 94203 107049 113346 118626 132237 138397 146538 170019 177939 188406 214098 219807 249781 264474 276794 321147 340038 355878 396711 415191 439614 499562 533817 642294 659421 749343 793422 830382 963441 1067634 1190133 1245573 1318842 1498686 1601451 1926882 2248029 2380266 2441137 2491146 2890323 3202902 3736719 4496058 4882274 5780646 6744087 7323411 7473438 11210157 13488174 14646822 17087959 20232261 21970233 22420314 34175918 40464522 41499329 43940466 51263877 65910699 82998658 102527754 124497987 131821398 153791631 197732097 248995974 290495303 307583262 373493961 395464194 461374893 580990606 746987922 871485909 922749786 1120481883 1384124679 1742971818 2240963766 2614457727 2768249358 3361445649 5228915454 6722891298 7843373181 15686746362 23530119543 47060239086