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72267065730653 = 174425779605117
BaseRepresentation
bin10000011011100111111100…
…110010000010011001011101
3100110212122221001202102022012
4100123213330302002121131
533433010422311340103
6413411010502001005
721136060154264453
oct2033477462023135
9313778831672265
1072267065730653
1121032321674192
128131a12116165
1331429a7b25821
1413bba5d4369d3
15854c73b4a2d8
hex41b9fcc8265d

72267065730653 has 8 divisors (see below), whose sum is σ = 76518250455672. Its totient is φ = 68015901101056.

The previous prime is 72267065730647. The next prime is 72267065730683. The reversal of 72267065730653 is 35603756076227.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44216621595364 + 28050444135289 = 6649558^2 + 5296267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72267065730653 - 26 = 72267065730589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72267065730592 and 72267065730601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72267065730683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2721251 + ... + 12326367.

It is an arithmetic number, because the mean of its divisors is an integer number (9564781306959).

Almost surely, 272267065730653 is an apocalyptic number.

It is an amenable number.

72267065730653 is a deficient number, since it is larger than the sum of its proper divisors (4251184725019).

72267065730653 is a wasteful number, since it uses less digits than its factorization.

72267065730653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047711.

The product of its (nonzero) digits is 66679200, while the sum is 59.

The spelling of 72267065730653 in words is "seventy-two trillion, two hundred sixty-seven billion, sixty-five million, seven hundred thirty thousand, six hundred fifty-three".

Divisors: 1 17 442577 7523809 9605117 163286989 4251003866509 72267065730653