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10645906041 = 3216322112
BaseRepresentation
bin10011110101000101…
…11010001001111001
31000110221011001122100
421322202322021321
5133300322443131
64520214414013
7524546464641
oct117242721171
930427131570
1010645906041
114573377861
122091361309
131008769bb4
1472dc59521
154249477e6
hex27a8ba279

10645906041 has 27 divisors (see below), whose sum is σ = 15546014757. Its totient is φ = 7020299160.

The previous prime is 10645906031. The next prime is 10645906057. The reversal of 10645906041 is 14060954601.

The square root of 10645906041 is 103179.

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

10645906041 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 590 + 60 + 4 + 1 = 666.

It is not a de Polignac number, because 10645906041 - 25 = 10645906009 is a prime.

It is a super-2 number, since 2×106459060412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645905987 and 10645906005.

It is not an unprimeable number, because it can be changed into a prime (10645906031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50454426 + ... + 50454636.

Almost surely, 210645906041 is an apocalyptic number.

10645906041 is the 103179-th square number.

10645906041 is the 51590-th centered octagonal number.

It is an amenable number.

10645906041 is a deficient number, since it is larger than the sum of its proper divisors (4900108716).

10645906041 is an frugal number, since it uses more digits than its factorization.

10645906041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 10645906041 by its sum of digits (36), we get a square (383252617476 = 6190742).

The spelling of 10645906041 in words is "ten billion, six hundred forty-five million, nine hundred six thousand, forty-one".

Divisors: 1 3 9 163 211 489 633 1467 1899 26569 34393 44521 79707 103179 133563 239121 309537 400689 5606059 7256923 16818177 21770769 50454531 65312307 1182878449 3548635347 10645906041