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655272441121 = 17428012
BaseRepresentation
bin10011000100100010100…
…01111111010100100001
32022122101001200222122011
421202101101333110201
541213444221103441
61221010014312521
765225155564144
oct11422121772441
92278331628564
10655272441121
11232999234701
12a6bb54b8741
1349a3ab27a7c
1423a02d1405b
15120a2532581
hex989147f521

655272441121 has 15 divisors (see below), whose sum is σ = 696475130623. Its totient is φ = 616506822400.

The previous prime is 655272441119. The next prime is 655272441137. The reversal of 655272441121 is 121144272556.

The square root of 655272441121 is 809489.

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

It can be written as a sum of positive squares in 7 ways, for example, as 21974801121 + 633297640000 = 148239^2 + 795800^2 .

It is not a de Polignac number, because 655272441121 - 21 = 655272441119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (655272441181) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 233940921 + ... + 233943721.

Almost surely, 2655272441121 is an apocalyptic number.

655272441121 is the 809489-th square number.

655272441121 is the 404745-th centered octagonal number.

It is an amenable number.

655272441121 is a deficient number, since it is larger than the sum of its proper divisors (41202689502).

655272441121 is an frugal number, since it uses more digits than its factorization.

655272441121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 2818 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The spelling of 655272441121 in words is "six hundred fifty-five billion, two hundred seventy-two million, four hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 17 289 2801 4913 47617 83521 809489 7845601 13761313 133375217 233942321 2267378689 38545437713 655272441121