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10694763981225 = 3452726732
BaseRepresentation
bin1001101110100001000110…
…0110111010100110101001
31101212102001111020100010000
42123220101212322212221
52400210334034344400
634425035020213213
72152446135632052
oct233502146724651
941772044210100
1010694763981225
113453695501275
12124887299a209
135c76868aabac
1428d8b4c95729
151382de4c2600
hex9ba119ba9a9

10694763981225 has 45 divisors (see below), whose sum is σ = 19810672448853. Its totient is φ = 5703795636480.

The previous prime is 10694763981197. The next prime is 10694763981227. The reversal of 10694763981225 is 52218936749601.

The square root of 10694763981225 is 3270285.

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

10694763981225 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 476 + 39 + 8 + 122 + 5 = 666.

10694763981225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 346163959449 + 10348600021776 = 588357^2 + 3216924^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10694763981225 - 25 = 10694763981193 is a prime.

It is a super-2 number, since 2×106947639812252 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10694763981227) 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, 147126489 + ... + 147199161.

It is a 3-persistent number, because k⋅10694763981225 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 210694763981225 is an apocalyptic number.

10694763981225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10694763981225 is the 3270285-th square number.

10694763981225 is the 1635143-rd centered octagonal number.

It is an amenable number.

10694763981225 is a deficient number, since it is larger than the sum of its proper divisors (9115908467628).

10694763981225 is an frugal number, since it uses more digits than its factorization.

10694763981225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145368 (or 72681 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10694763981225 in words is "ten trillion, six hundred ninety-four billion, seven hundred sixty-three million, nine hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 72673 218019 363365 654057 1090095 1816825 1962171 3270285 5450475 5886513 9810855 16351425 29432565 49054275 147162825 5281364929 15844094787 26406824645 47532284361 79220473935 132034123225 142596853083 237661421805 396102369675 427790559249 712984265415 1188307109025 2138952796245 3564921327075 10694763981225