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11075868405 = 325743817709
BaseRepresentation
bin10100101000010110…
…00101011011110101
31001120220012102010100
422110023011123311
5140140410242110
65031014144313
7541320220350
oct122413053365
931526172110
1011075868405
114774047958
122191352099
13107686c2b4
14770dbd297
1544c578bc0
hex2942c56f5

11075868405 has 48 divisors (see below), whose sum is σ = 22451045760. Its totient is φ = 4945497984.

The previous prime is 11075868389. The next prime is 11075868439. The reversal of 11075868405 is 50486857011.

11075868405 is a `hidden beast` number, since 110 + 75 + 8 + 68 + 405 = 666.

11075868405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11075868405 - 24 = 11075868389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395310 + ... + 422399.

It is an arithmetic number, because the mean of its divisors is an integer number (467730120).

Almost surely, 211075868405 is an apocalyptic number.

11075868405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11075868405 is an abundant number, since it is smaller than the sum of its proper divisors (11375177355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11075868405 is a wasteful number, since it uses less digits than its factorization.

11075868405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817770 (or 817767 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 11075868405 in words is "eleven billion, seventy-five million, eight hundred sixty-eight thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 4515 13545 817709 2453127 4088545 5723963 7359381 12265635 17171889 28619815 35161487 36796905 51515667 85859445 105484461 175807435 246130409 257578335 316453383 527422305 738391227 1230652045 1582266915 2215173681 3691956135 11075868405