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72527655244489 = 8292102732
BaseRepresentation
bin10000011111011010101001…
…001000001001001011001001
3100111210120112222220022111121
4100133122221020021023021
534001243114220310424
6414130424515355241
721163643623512424
oct2037325110111311
9314716488808447
1072527655244489
1121122895658965
128174418bb2b21
133161436a68823
1413ca5003c49bb
1585b92646cee4
hex41f6a92092c9

72527655244489 has 9 divisors (see below), whose sum is σ = 72622318145013. Its totient is φ = 72433115609472.

The previous prime is 72527655244441. The next prime is 72527655244559. The reversal of 72527655244489 is 98444255672527.

The square root of 72527655244489 is 8516317.

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 3333673447225 + 69193981797264 = 1825835^2 + 8318292^2 .

It is not a de Polignac number, because 72527655244489 - 233 = 72519065309897 is a prime.

It is a super-2 number, since 2×725276552444892 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72527655244409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7060021657 + ... + 7060031929.

It is an arithmetic number, because the mean of its divisors is an integer number (8069146460557).

Almost surely, 272527655244489 is an apocalyptic number.

72527655244489 is the 8516317-th square number.

72527655244489 is the 4258159-th centered octagonal number.

It is an amenable number.

72527655244489 is a deficient number, since it is larger than the sum of its proper divisors (94662900524).

72527655244489 is an frugal number, since it uses more digits than its factorization.

72527655244489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22204 (or 11102 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 70.

The spelling of 72527655244489 in words is "seventy-two trillion, five hundred twenty-seven billion, six hundred fifty-five million, two hundred forty-four thousand, four hundred eighty-nine".

Divisors: 1 829 10273 687241 8516317 105534529 7060026793 87488124541 72527655244489