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138352125848 = 231711320994289
BaseRepresentation
bin1000000011011001101…
…1011110011110011000
3111020002222221012101012
42000312123132132120
54231321121011343
6143320314113052
712665331444326
oct2006633363630
9436088835335
10138352125848
1153747193982
1222991a1b788
131007b366631
1469a6834d16
1538eb217718
hex20366de798

138352125848 has 64 divisors (see below), whose sum is σ = 277297020000. Its totient is φ = 64484933632.

The previous prime is 138352125841. The next prime is 138352125853. The reversal of 138352125848 is 848521253831.

138352125848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138352125796 and 138352125805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138352125841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32255288 + ... + 32259576.

Almost surely, 2138352125848 is an apocalyptic number.

It is an amenable number.

138352125848 is an abundant number, since it is smaller than the sum of its proper divisors (138944894152).

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

138352125848 is a wasteful number, since it uses less digits than its factorization.

138352125848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524 (or 6520 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 50.

The spelling of 138352125848 in words is "one hundred thirty-eight billion, three hundred fifty-two million, one hundred twenty-five thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 17 34 68 113 136 226 452 904 1921 2099 3842 4198 4289 7684 8396 8578 15368 16792 17156 34312 35683 71366 72913 142732 145826 237187 285464 291652 474374 484657 583304 948748 969314 1897496 1938628 3877256 4032179 8064358 8239169 9002611 16128716 16478338 18005222 32257432 32956676 36010444 65913352 72020888 153044387 306088774 612177548 1017295043 1224355096 2034590086 4069180172 8138360344 17294015731 34588031462 69176062924 138352125848