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1225296238761 = 3272527112
BaseRepresentation
bin10001110101001001010…
…110001101100010101001
311100010201000001011222100
4101311021112031202221
5130033401314120021
62334520542444013
7154344661120200
oct21651126154251
94303630034870
101225296238761
11432710868741
12179579293609
138b71130301a
1443439d86237
1521d158c7626
hex11d4958d8a9

1225296238761 has 27 divisors (see below), whose sum is σ = 2058870154653. Its totient is φ = 700155996120.

The previous prime is 1225296238723. The next prime is 1225296238787. The reversal of 1225296238761 is 1678326925221.

The square root of 1225296238761 is 1106931.

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

1225296238761 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 9 + 623 + 8 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 1225296238761 - 215 = 1225296205993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1225296238698 and 1225296238707.

It is not an unprimeable number, because it can be changed into a prime (1225296233761) 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, 23219196 + ... + 23271906.

Almost surely, 21225296238761 is an apocalyptic number.

1225296238761 is the 1106931-st square number.

1225296238761 is the 553466-th centered octagonal number.

It is an amenable number.

1225296238761 is a deficient number, since it is larger than the sum of its proper divisors (833573915892).

1225296238761 is an frugal number, since it uses more digits than its factorization.

1225296238761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105442 (or 52721 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 1225296238761 in words is "one trillion, two hundred twenty-five billion, two hundred ninety-six million, two hundred thirty-eight thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 52711 158133 368977 474399 1106931 2582839 3320793 7748517 23245551 2778449521 8335348563 19449146647 25006045689 58347439941 136144026529 175042319823 408432079587 1225296238761