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11112456690 = 233541157247
BaseRepresentation
bin10100101100101101…
…01010000111110010
31001200110001021211000
422112112222013302
5140224242103230
65034402302430
7542243215626
oct122626520762
931613037730
1011112456690
114792768205
1221a1657a16
13108130cc7a
14775bc5186
154508a4b60
hex2965aa1f2

11112456690 has 32 divisors (see below), whose sum is σ = 29633218560. Its totient is φ = 2963321712.

The previous prime is 11112456683. The next prime is 11112456697. The reversal of 11112456690 is 9665421111.

11112456690 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 4 + 566 + 90 = 666.

11112456690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11112456683) and next prime (11112456697).

It is a super-2 number, since 2×111124566902 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11112456697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20578354 + ... + 20578893.

It is an arithmetic number, because the mean of its divisors is an integer number (926038080).

Almost surely, 211112456690 is an apocalyptic number.

11112456690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11112456690 is an abundant number, since it is smaller than the sum of its proper divisors (18520761870).

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

11112456690 is a wasteful number, since it uses less digits than its factorization.

11112456690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41157263 (or 41157257 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11112456690 in words is "eleven billion, one hundred twelve million, four hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 41157247 82314494 123471741 205786235 246943482 370415223 411572470 617358705 740830446 1111245669 1234717410 1852076115 2222491338 3704152230 5556228345 11112456690