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138361581 = 3329832129
BaseRepresentation
bin10000011111100…
…11101011101101
3100122100111102000
420033303223231
5240410032311
621421322513
73300024351
oct1017635355
9318314360
10138361581
1171113116
123a406439
1322885677
1414539461
15c231056
hex83f3aed

138361581 has 32 divisors (see below), whose sum is σ = 214704000. Its totient is φ = 87945984.

The previous prime is 138361579. The next prime is 138361621. The reversal of 138361581 is 185163831.

138361581 is a `hidden beast` number, since 1 + 38 + 3 + 615 + 8 + 1 = 666.

It is not a de Polignac number, because 138361581 - 21 = 138361579 is a prime.

It is a super-2 number, since 2×1383615812 = 38287854193639122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138361541) 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 31 ways as a sum of consecutive naturals, for example, 63925 + ... + 66053.

It is an arithmetic number, because the mean of its divisors is an integer number (6709500).

Almost surely, 2138361581 is an apocalyptic number.

It is an amenable number.

138361581 is a deficient number, since it is larger than the sum of its proper divisors (76342419).

138361581 is a wasteful number, since it uses less digits than its factorization.

138361581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 138361581 is about 11762.7199660623. The cubic root of 138361581 is about 517.2158658684.

The spelling of 138361581 in words is "one hundred thirty-eight million, three hundred sixty-one thousand, five hundred eighty-one".

Divisors: 1 3 9 27 29 83 87 249 261 747 783 2129 2241 2407 6387 7221 19161 21663 57483 61741 64989 176707 185223 530121 555669 1590363 1667007 4771089 5124503 15373509 46120527 138361581