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138168108802249 = 17109233343497349
BaseRepresentation
bin11111011010100111000101…
…000010110110000011001001
3200010012202001001202200011021
4133122213011002312003021
5121102221241323132444
61205505315233032441
741050213353030061
oct3732470502660311
9603182031680137
10138168108802249
114002a847424789
12135b5aa40b5721
135c132733621a6
14261952d25c3a1
1510e9109cd9584
hex7da9c50b60c9

138168108802249 has 32 divisors (see below), whose sum is σ = 147755153700000. Its totient is φ = 128745176592384.

The previous prime is 138168108802237. The next prime is 138168108802253. The reversal of 138168108802249 is 942208801861831.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 25574108697225 + 112594000105024 = 5057085^2 + 10611032^2 .

It is a cyclic number.

It is not a de Polignac number, because 138168108802249 - 223 = 138168100413641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138168108802649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18800936427 + ... + 18800943775.

It is an arithmetic number, because the mean of its divisors is an integer number (4617348553125).

Almost surely, 2138168108802249 is an apocalyptic number.

It is an amenable number.

138168108802249 is a deficient number, since it is larger than the sum of its proper divisors (9587044897751).

138168108802249 is a wasteful number, since it uses less digits than its factorization.

138168108802249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14157.

The product of its (nonzero) digits is 10616832, while the sum is 61.

The spelling of 138168108802249 in words is "one hundred thirty-eight trillion, one hundred sixty-eight billion, one hundred eight million, eight hundred two thousand, two hundred forty-nine".

Divisors: 1 17 109 1853 2333 4349 7349 39661 73933 124933 254297 474041 801041 4323049 8058697 10146217 13617697 17145217 31960801 172485689 291468689 543333617 1105937653 1868828653 3483727309 18800940101 31770087101 59223364253 74564548733 1267597328461 8127535811897 138168108802249