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10490194666449 = 34172211692
BaseRepresentation
bin1001100010100111000001…
…0100111010001111010001
31101010212000200222102010000
42120221300110322033101
52333332404313311244
634151043502000213
72131614542303451
oct230516024721721
941125020872100
1010490194666449
113384959457273
1212150a0b76069
135b12b4a26584
14283a29dc3d61
15132d19d1c169
hex98a7053a3d1

10490194666449 has 45 divisors (see below), whose sum is σ = 16647343763457. Its totient is φ = 6581771997696.

The previous prime is 10490194666439. The next prime is 10490194666531. The reversal of 10490194666449 is 94466649109401.

The square root of 10490194666449 is 3238857.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6596550140625 + 3893644525824 = 2568375^2 + 1973232^2 .

It is not a de Polignac number, because 10490194666449 - 235 = 10455834928081 is a prime.

It is a super-2 number, since 2×104901946664492 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10490194666439) 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, 495534537 + ... + 495555705.

Almost surely, 210490194666449 is an apocalyptic number.

10490194666449 is the 3238857-th square number.

10490194666449 is the 1619429-th centered octagonal number.

It is an amenable number.

10490194666449 is a deficient number, since it is larger than the sum of its proper divisors (6157149097008).

10490194666449 is an frugal number, since it uses more digits than its factorization.

10490194666449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42384 (or 21189 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 10490194666449 in words is "ten trillion, four hundred ninety billion, one hundred ninety-four million, six hundred sixty-six thousand, four hundred forty-nine".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 21169 23409 63507 190521 359873 571563 1079619 1714689 3238857 6117841 9716571 18353523 29149713 55060569 165181707 448126561 495545121 1344379683 4033139049 7618151537 12099417147 22854454611 36298251441 68563363833 129508576129 205690091499 388525728387 617070274497 1165577185161 3496731555483 10490194666449