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61647387012225 = 325272372432472
BaseRepresentation
bin11100000010001011001101…
…00110101010110010000001
322002021102200101200122012100
432001011212212222302001
531040012322033342400
6335040230231221013
715661606501462200
oct1601054646526201
9262242611618170
1061647387012225
1118708567908213
126ab7815217769
1328524290a4821
141131a6c6d1237
1571d8cb433100
hex3811669aac81

61647387012225 has 729 divisors, whose sum is σ = 138088074002697. Its totient is φ = 26212485116160.

The previous prime is 61647387012223. The next prime is 61647387012229. The reversal of 61647387012225 is 52221078374616.

The square root of 61647387012225 is 7851585.

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

61647387012225 is a `hidden beast` number, since 61 + 6 + 473 + 8 + 70 + 1 + 22 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5852223824769 + 55795163187456 = 2419137^2 + 7469616^2 .

It is not a de Polignac number, because 61647387012225 - 21 = 61647387012223 is a prime.

It is a super-2 number, since 2×616473870122252 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61647387012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 1311646532152 + ... + 1311646532198.

Almost surely, 261647387012225 is an apocalyptic number.

61647387012225 is the 7851585-th square number.

61647387012225 is the 3925793-rd centered octagonal number.

It is an amenable number.

61647387012225 is an abundant number, since it is smaller than the sum of its proper divisors (76440686990472).

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

61647387012225 is a wasteful number, since it uses less digits than its factorization.

61647387012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 61647387012225 in words is "sixty-one trillion, six hundred forty-seven billion, three hundred eighty-seven million, twelve thousand, two hundred twenty-five".