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47643871222116 = 2232132884932
BaseRepresentation
bin10101101010100111101000…
…00001010001100101100100
320020200201011022012001002100
422311103310001101211210
522221044122013101431
6245155143044412100
713015104354305511
oct1265236401214544
9206621138161070
1047643871222116
11141a971a260474
1254158500a7030
132077a4a946100
14ba9d93354308
155794d6a594e6
hex2b54f4051964

47643871222116 has 81 divisors (see below), whose sum is σ = 130411300689579. Its totient is φ = 14659487024832.

The previous prime is 47643871222063. The next prime is 47643871222187. The reversal of 47643871222116 is 61122217834674.

The square root of 47643871222116 is 6902454.

It is a perfect power (a square), and thus also a powerful number.

47643871222116 is a `hidden beast` number, since 4 + 7 + 6 + 438 + 71 + 2 + 22 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26725322479716 + 20918548742400 = 5169654^2 + 4573680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 538347166 + ... + 538435658.

Almost surely, 247643871222116 is an apocalyptic number.

47643871222116 is the 6902454-th square number.

It is an amenable number.

47643871222116 is an abundant number, since it is smaller than the sum of its proper divisors (82767429467463).

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

47643871222116 is an frugal number, since it uses more digits than its factorization.

47643871222116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177022 (or 88511 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 47643871222116 in words is "forty-seven trillion, six hundred forty-three billion, eight hundred seventy-one million, two hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 88493 176986 265479 353972 530958 796437 1061916 1150409 1592874 2300818 3185748 3451227 4601636 6902454 10353681 13804908 14955317 20707362 29910634 41414724 44865951 59821268 89731902 134597853 179463804 269195706 538391412 7831011049 15662022098 23493033147 31324044196 46986066294 70479099441 93972132588 101803143637 140958198882 203606287274 281916397764 305409430911 407212574548 610818861822 916228292733 1221637723644 1323440867281 1832456585466 2646881734562 3664913170932 3970322601843 5293763469124 7940645203686 11910967805529 15881290407372 23821935611058 47643871222116