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138351807 = 3111171
BaseRepresentation
bin10000011111100…
…01010010111111
3100122100000000000
420033301102333
5240404224212
621421205343
73266654016
oct1017612277
9318300000
10138351807
1171106840
123a400853
1322881099
1414535a7d
15c22d1dc
hex83f14bf

138351807 has 48 divisors (see below), whose sum is σ = 229582080. Its totient is φ = 82668600.

The previous prime is 138351803. The next prime is 138351809. The reversal of 138351807 is 708153831.

138351807 is a `hidden beast` number, since 138 + 3 + 518 + 0 + 7 = 666.

It is not a de Polignac number, because 138351807 - 22 = 138351803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138351803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948582 + ... + 1948652.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2138351807 is an apocalyptic number.

138351807 is a deficient number, since it is larger than the sum of its proper divisors (91230273).

138351807 is an frugal number, since it uses more digits than its factorization.

138351807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 138351807 is about 11762.3044935931. The cubic root of 138351807 is about 517.2036867002.

The spelling of 138351807 in words is "one hundred thirty-eight million, three hundred fifty-one thousand, eight hundred seven".

Divisors: 1 3 9 11 27 33 71 81 99 213 243 297 639 729 781 891 1917 2187 2343 2673 5751 6561 7029 8019 17253 19683 21087 24057 51759 59049 63261 72171 155277 177147 189783 216513 465831 569349 649539 1397493 1708047 1948617 4192479 5124141 12577437 15372423 46117269 138351807