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138683027328 = 273361153717
BaseRepresentation
bin1000000100101000100…
…1110000111110000000
3111020222001120201212120
42001022021300332000
54233010323333303
6143413214324240
713006460165556
oct2011211607600
9436861521776
10138683027328
11538a6a5407a
1222a647b9680
1310101a93821
1469d876dbd6
15391a2cc553
hex204a270f80

138683027328 has 32 divisors (see below), whose sum is σ = 368376792360. Its totient is φ = 46227675648.

The previous prime is 138683027309. The next prime is 138683027347. The reversal of 138683027328 is 823720386831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138683027309) and next prime (138683027347).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180576475 + ... + 180577242.

Almost surely, 2138683027328 is an apocalyptic number.

It is an amenable number.

138683027328 is an abundant number, since it is smaller than the sum of its proper divisors (229693765032).

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

138683027328 is an equidigital number, since it uses as much as digits as its factorization.

138683027328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361153734 (or 361153722 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 138683027328 in words is "one hundred thirty-eight billion, six hundred eighty-three million, twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 361153717 722307434 1083461151 1444614868 2166922302 2889229736 4333844604 5778459472 8667689208 11556918944 17335378416 23113837888 34670756832 46227675776 69341513664 138683027328