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47718272961 = 3417377091321
BaseRepresentation
bin101100011100001110…
…110000111111000001
311120011120100102120000
4230130032300333001
51240211334213321
633531012110213
73306334425222
oct543416607701
9146146312500
1047718272961
11192677a2827
1292b8905369
134666124b98
14244969b249
1513943d2826
hexb1c3b0fc1

47718272961 has 80 divisors (see below), whose sum is σ = 77683945680. Its totient is φ = 29068554240.

The previous prime is 47718272957. The next prime is 47718272963. The reversal of 47718272961 is 16927281774.

47718272961 is a `hidden beast` number, since 477 + 1 + 82 + 7 + 2 + 96 + 1 = 666.

47718272961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8085426561 + 39632846400 = 89919^2 + 199080^2 .

It is not a de Polignac number, because 47718272961 - 22 = 47718272957 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47718272898 and 47718272907.

It is not an unprimeable number, because it can be changed into a prime (47718272963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36122181 + ... + 36123501.

It is an arithmetic number, because the mean of its divisors is an integer number (971049321).

Almost surely, 247718272961 is an apocalyptic number.

It is an amenable number.

47718272961 is a deficient number, since it is larger than the sum of its proper divisors (29965672719).

47718272961 is a wasteful number, since it uses less digits than its factorization.

47718272961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2087 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 47718272961 in words is "forty-seven billion, seven hundred eighteen million, two hundred seventy-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 27 37 51 81 111 153 333 459 629 709 999 1321 1377 1887 2127 2997 3963 5661 6381 11889 12053 16983 19143 22457 26233 35667 36159 48877 50949 57429 67371 78699 107001 108477 146631 202113 236097 325431 439893 445961 606339 708291 830909 936589 976293 1319679 1337883 1819017 2124873 2492727 2809767 3959037 4013649 7478181 8429301 12040947 15922013 22434543 25287903 34653793 36122841 47766039 67303629 75863709 103961379 143298117 311884137 429894351 589114481 935652411 1289683053 1767343443 2806957233 5302030329 15906090987 47718272961