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43246945681 = 2927121012
BaseRepresentation
bin101000010001101110…
…000000010110010001
311010121221202110121221
4220101232000112101
51202032204230211
631511204045041
73060461654512
oct502156002621
9133557673557
1043246945681
1117382856425
12846b393781
13410297a1b4
1421438d6a09
1511d1aa9c71
hexa11b80591

43246945681 has 27 divisors (see below), whose sum is σ = 45883617169. Its totient is φ = 40759964000.

The previous prime is 43246945669. The next prime is 43246945717. The reversal of 43246945681 is 18654964234.

The square root of 43246945681 is 207959.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14210785681 + 29036160000 = 119209^2 + 170400^2 .

It is not a de Polignac number, because 43246945681 - 215 = 43246912913 is a prime.

It is a super-2 number, since 2×432469456812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43246945381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 428187531 + ... + 428187631.

Almost surely, 243246945681 is an apocalyptic number.

43246945681 is the 207959-th square number.

43246945681 is the 103980-th centered octagonal number.

It is an amenable number.

43246945681 is a deficient number, since it is larger than the sum of its proper divisors (2636671488).

43246945681 is an frugal number, since it uses more digits than its factorization.

43246945681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 43246945681 in words is "forty-three billion, two hundred forty-six million, nine hundred forty-five thousand, six hundred eighty-one".

Divisors: 1 29 71 101 841 2059 2929 5041 7171 10201 59711 84941 146189 207959 295829 509141 724271 4239481 6030811 8579041 14765089 21003859 51423241 428187581 609111911 1491273989 43246945681