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10276134220881 = 32641216672
BaseRepresentation
bin1001010110001001100101…
…0101000111010001010001
31100101101111110111002022100
42111202121111013101101
52321331010330032011
633504442455431013
72110266120446664
oct225423125072121
940341443432270
1010276134220881
1133020a1962221
12119b700685469
1359705c723829
142775207b36db
1512c48c2c4d56
hex95899547451

10276134220881 has 27 divisors (see below), whose sum is σ = 14875421058043. Its totient is φ = 6835965319680.

The previous prime is 10276134220867. The next prime is 10276134220889. The reversal of 10276134220881 is 18802243167201.

The square root of 10276134220881 is 3205641.

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

10276134220881 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 613 + 4 + 2 + 20 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9275734180881 + 1000400040000 = 3045609^2 + 1000200^2 .

It is not a de Polignac number, because 10276134220881 - 237 = 10138695267409 is a prime.

It is a super-2 number, since 2×102761342208812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10276134220889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6164446810 + ... + 6164448476.

Almost surely, 210276134220881 is an apocalyptic number.

10276134220881 is the 3205641-st square number.

10276134220881 is the 1602821-st centered octagonal number.

It is an amenable number.

10276134220881 is a deficient number, since it is larger than the sum of its proper divisors (4599286837162).

10276134220881 is an frugal number, since it uses more digits than its factorization.

10276134220881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10276134220881 in words is "ten trillion, two hundred seventy-six billion, one hundred thirty-four million, two hundred twenty thousand, eight hundred eighty-one".

Divisors: 1 3 9 641 1667 1923 5001 5769 15003 410881 1068547 1232643 2778889 3205641 3697929 8336667 9616923 25010001 684938627 1781267849 2054815881 5343803547 6164447643 16031410641 1141792691209 3425378073627 10276134220881