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11438067672 = 233417651339
BaseRepresentation
bin10101010011100001…
…10000111111011000
31002112010202001010000
422221300300333120
5141411121131142
65130553253000
7553305654033
oct125160607730
932463661100
1011438067672
11493a544599
122272704160
1311039070a5
147a714401a
1546e27214c
hex2a9c30fd8

11438067672 has 40 divisors (see below), whose sum is σ = 32037182100. Its totient is φ = 3812689008.

The previous prime is 11438067671. The next prime is 11438067689. The reversal of 11438067672 is 27676083411.

11438067672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438067671) 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 9 ways as a sum of consecutive naturals, for example, 8825022 + ... + 8826317.

Almost surely, 211438067672 is an apocalyptic number.

11438067672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11438067672 is an abundant number, since it is smaller than the sum of its proper divisors (20599114428).

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

11438067672 is a wasteful number, since it uses less digits than its factorization.

11438067672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17651357 (or 17651344 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11438067672 in words is "eleven billion, four hundred thirty-eight million, sixty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 17651339 35302678 52954017 70605356 105908034 141210712 158862051 211816068 317724102 423632136 476586153 635448204 953172306 1270896408 1429758459 1906344612 2859516918 3812689224 5719033836 11438067672