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138083232177 = 32112585721649
BaseRepresentation
bin1000000010011001100…
…1101110100110110001
3111012102020221222121100
42000212121232212301
54230243301412202
6143233510515013
712655555051632
oct2004631564661
9435366858540
10138083232177
1153619426100
1222917965a69
131003773a257
14697cc3b889
1538d280041c
hex202666e9b1

138083232177 has 36 divisors (see below), whose sum is σ = 219281635300. Its totient is φ = 83668654080.

The previous prime is 138083232167. The next prime is 138083232187. The reversal of 138083232177 is 771232380831.

It is a happy number.

138083232177 is a `hidden beast` number, since 1 + 380 + 83 + 23 + 2 + 177 = 666.

It is an interprime number because it is at equal distance from previous prime (138083232167) and next prime (138083232187).

It can be written as a sum of positive squares in 2 ways, for example, as 97188686001 + 40894546176 = 311751^2 + 202224^2 .

It is not a de Polignac number, because 138083232177 - 224 = 138066454961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138083232167) 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 35 ways as a sum of consecutive naturals, for example, 6367449 + ... + 6389097.

Almost surely, 2138083232177 is an apocalyptic number.

It is an amenable number.

138083232177 is a deficient number, since it is larger than the sum of its proper divisors (81198403123).

138083232177 is a wasteful number, since it uses less digits than its factorization.

138083232177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27534 (or 27520 counting only the distinct ones).

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

The spelling of 138083232177 in words is "one hundred thirty-eight billion, eighty-three million, two hundred thirty-two thousand, one hundred seventy-seven".

Divisors: 1 3 9 11 33 99 121 363 1089 5857 17571 21649 52713 64427 64947 193281 194841 238139 579843 708697 714417 2126091 2143251 2619529 6378273 7858587 23575761 126798193 380394579 1141183737 1394780123 4184340369 12553021107 15342581353 46027744059 138083232177