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71247254949 = 32131735820641
BaseRepresentation
bin100001001011010101…
…0101101010110100101
320210220100021120000100
41002112222231112211
52131403244124244
652421443534313
75101400450313
oct1022652552645
9223810246010
1071247254949
1128241244192
121198468a399
136945975930
14363c5270b3
151cbed82b69
hex1096aad5a5

71247254949 has 24 divisors (see below), whose sum is σ = 117348423192. Its totient is φ = 41265377280.

The previous prime is 71247254921. The next prime is 71247254989. The reversal of 71247254949 is 94945274217.

71247254949 is a `hidden beast` number, since 7 + 1 + 24 + 72 + 549 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4790024100 + 66457230849 = 69210^2 + 257793^2 .

It is not a de Polignac number, because 71247254949 - 28 = 71247254693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71247254895 and 71247254904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71247254989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17908332 + ... + 17912309.

It is an arithmetic number, because the mean of its divisors is an integer number (4889517633).

Almost surely, 271247254949 is an apocalyptic number.

It is an amenable number.

71247254949 is a deficient number, since it is larger than the sum of its proper divisors (46101168243).

71247254949 is a wasteful number, since it uses less digits than its factorization.

71247254949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35820677 (or 35820674 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 71247254949 in words is "seventy-one billion, two hundred forty-seven million, two hundred fifty-four thousand, nine hundred forty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 35820641 107461923 322385769 465668333 608950897 1397004999 1826852691 4191014997 5480558073 7916361661 23749084983 71247254949