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11140072016 = 241495218969
BaseRepresentation
bin10100110000000000…
…00000001001010000
31001202101000021220212
422120000000021100
5140303324301031
65041230223252
7543030023033
oct123000001120
931671007825
1011140072016
1147a7309a97
1221aa954b28
131086c5b6b8
1477973301a
1545300c12b
hex298000250

11140072016 has 40 divisors (see below), whose sum is σ = 21772881000. Its totient is φ = 5521418240.

The previous prime is 11140071997. The next prime is 11140072051. The reversal of 11140072016 is 61027004111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68823616 + 11071248400 = 8296^2 + 105220^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11140071982 and 11140072000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1237580 + ... + 1246548.

It is an arithmetic number, because the mean of its divisors is an integer number (544322025).

Almost surely, 211140072016 is an apocalyptic number.

11140072016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11140072016 is a deficient number, since it is larger than the sum of its proper divisors (10632808984).

11140072016 is a wasteful number, since it uses less digits than its factorization.

11140072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9647 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 11140072016 its reverse (61027004111), we get a palindrome (72167076127).

The spelling of 11140072016 in words is "eleven billion, one hundred forty million, seventy-two thousand, sixteen".

Divisors: 1 2 4 8 16 149 298 521 596 1042 1192 2084 2384 4168 8336 8969 17938 35876 71752 77629 143504 155258 310516 621032 1242064 1336381 2672762 4672849 5345524 9345698 10691048 18691396 21382096 37382792 74765584 696254501 1392509002 2785018004 5570036008 11140072016