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11367082067 = 1141017687
BaseRepresentation
bin10101001011000011…
…11110100001010011
31002100012011121011112
422211201332201103
5141234433111232
65115540003535
7551454413645
oct124541764123
932305147145
1011367082067
114903470000
1222529905ab
1310c1cb1a83
1479b946895
15467dee4b2
hex2a587e853

11367082067 has 20 divisors (see below), whose sum is σ = 12629154480. Its totient is φ = 10230066000.

The previous prime is 11367082049. The next prime is 11367082073. The reversal of 11367082067 is 76028076311.

11367082067 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 11367082067 - 226 = 11299973203 is a prime.

It is a super-3 number, since 3×113670820673 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11367084067) 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 19 ways as a sum of consecutive naturals, for example, 1474898 + ... + 1482584.

It is an arithmetic number, because the mean of its divisors is an integer number (631457724).

Almost surely, 211367082067 is an apocalyptic number.

11367082067 is a deficient number, since it is larger than the sum of its proper divisors (1262072413).

11367082067 is an frugal number, since it uses more digits than its factorization.

11367082067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 11367082067 in words is "eleven billion, three hundred sixty-seven million, eighty-two thousand, sixty-seven".

Divisors: 1 11 101 121 1111 1331 7687 12221 14641 84557 134431 776387 930127 1478741 8540257 10231397 93942827 112545367 1033371097 11367082067