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21655771281 = 348321972
BaseRepresentation
bin10100001010110010…
…001101100010010001
32001220020011011110000
4110022302031202101
5323322334140111
613540514200213
71364436006264
oct241262154221
961806134400
1021655771281
119203133541
124244583069
132071739961
141096176cdb
1586b2d4c56
hex50ac8d891

21655771281 has 45 divisors (see below), whose sum is σ = 32911493131. Its totient is φ = 14190836688.

The previous prime is 21655771237. The next prime is 21655771301. The reversal of 21655771281 is 18217755612.

The square root of 21655771281 is 147159.

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

21655771281 is a `hidden beast` number, since 2 + 1 + 6 + 557 + 7 + 12 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21218292225 + 437479056 = 145665^2 + 20916^2 .

It is not a de Polignac number, because 21655771281 - 29 = 21655770769 is a prime.

It is a super-2 number, since 2×216557712812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21655771211) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 109927675 + ... + 109927871.

Almost surely, 221655771281 is an apocalyptic number.

21655771281 is the 147159-th square number.

21655771281 is the 73580-th centered octagonal number.

It is an amenable number.

21655771281 is a deficient number, since it is larger than the sum of its proper divisors (11255721850).

21655771281 is an frugal number, since it uses more digits than its factorization.

21655771281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 283 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The spelling of 21655771281 in words is "twenty-one billion, six hundred fifty-five million, seven hundred seventy-one thousand, two hundred eighty-one".

Divisors: 1 3 9 27 81 83 197 249 591 747 1773 2241 5319 6723 6889 15957 16351 20667 38809 49053 62001 116427 147159 186003 349281 441477 558009 1047843 1324431 1357133 3143529 3221147 4071399 9663441 12214197 28990323 36642591 86970969 109927773 260912907 267355201 802065603 2406196809 7218590427 21655771281