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935245660561 = 19223222132
BaseRepresentation
bin11011001110000001111…
…11000100000110010001
310022102000212201011002221
431213000333010012101
5110310340342114221
61553351304141041
7124366154643262
oct15470077040621
93272025634087
10935245660561
113306a9880293
1213130ba67781
136a268863264
14333a239c969
15194db935541
hexd9c0fc4191

935245660561 has 27 divisors (see below), whose sum is σ = 1032307841019. Its totient is φ = 847116536112.

The previous prime is 935245660513. The next prime is 935245660589. The reversal of 935245660561 is 165066542539.

The square root of 935245660561 is 967081.

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

It can be written as a sum of positive squares in only one way, i.e., 928496052225 + 6749608336 = 963585^2 + 82156^2 .

It is not a de Polignac number, because 935245660561 - 215 = 935245627793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 935245660499 and 935245660508.

It is not an unprimeable number, because it can be changed into a prime (935245660511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 422613291 + ... + 422615503.

Almost surely, 2935245660561 is an apocalyptic number.

935245660561 is the 967081-st square number.

935245660561 is the 483541-st centered octagonal number.

It is an amenable number.

935245660561 is a deficient number, since it is larger than the sum of its proper divisors (97062180458).

935245660561 is an frugal number, since it uses more digits than its factorization.

935245660561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 52.

The spelling of 935245660561 in words is "nine hundred thirty-five billion, two hundred forty-five million, six hundred sixty thousand, five hundred sixty-one".

Divisors: 1 19 23 361 437 529 2213 8303 10051 42047 50899 190969 798893 967081 1170677 4897369 18374539 22242863 93050011 112639487 422614397 1767950209 2140150253 2590708201 40662854807 49223455819 935245660561