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276264820881 = 312721032
BaseRepresentation
bin1000000010100101010…
…10101010000010010001
3222102002101000000000000
410001102222222002101
514011242243232011
6330525253520213
725650046142400
oct4012252520221
9872071000000
10276264820881
11a718831a995
1245660643069
1320089663c1a
14d52ab5d637
1572bda7d356
hex4052aaa091

276264820881 has 117 divisors (see below), whose sum is σ = 486779190201. Its totient is φ = 156332936088.

The previous prime is 276264820849. The next prime is 276264820901. The reversal of 276264820881 is 188028462672.

The square root of 276264820881 is 525609.

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

276264820881 is a `hidden beast` number, since 2 + 7 + 626 + 4 + 8 + 2 + 0 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 276264820881 - 25 = 276264820849 is a prime.

It is a super-2 number, since 2×2762648208812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (276264820681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 2682182676 + ... + 2682182778.

Almost surely, 2276264820881 is an apocalyptic number.

276264820881 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

276264820881 is the 525609-th square number.

276264820881 is the 262805-th centered octagonal number.

It is an amenable number.

276264820881 is a deficient number, since it is larger than the sum of its proper divisors (210514369320).

276264820881 is an frugal number, since it uses more digits than its factorization.

276264820881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 276264820881 in words is "two hundred seventy-six billion, two hundred sixty-four million, eight hundred twenty thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 103 147 189 243 309 441 567 721 729 927 1323 1701 2163 2187 2781 3969 5047 5103 6489 6561 8343 10609 11907 15141 15309 19467 19683 25029 31827 35721 45423 45927 58401 59049 74263 75087 95481 107163 136269 137781 175203 177147 222789 225261 286443 321489 408807 413343 519841 525609 531441 668367 675783 859329 964467 1226421 1240029 1559523 1576827 2005101 2027349 2577987 2893401 3679263 3720087 4678569 4730481 6015303 6082047 7733961 8680203 11037789 14035707 14191443 18045909 18246141 23201883 26040609 33113367 42107121 42574329 54137727 54738423 69605649 99340101 126321363 127722987 162413181 208816947 298020303 378964089 383168961 487239543 626450841 894060909 1136892267 1461718629 1879352523 2682182727 3410676801 4385155887 5638057569 10232030403 13155467661 30696091209 39466402983 92088273627 276264820881