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138138334633 = 13149619115211
BaseRepresentation
bin1000000010100110101…
…1111011010110101001
3111012120002122110222001
42000221223323112221
54230401403202013
6143243155531001
712660124320325
oct2005153732651
9435502573861
10138138334633
1153647541422
12229322b9a61
1310045c90c60
1469862a2985
1538d7586ddd
hex2029afb5a9

138138334633 has 16 divisors (see below), whose sum is σ = 150006024000. Its totient is φ = 126450809280.

The previous prime is 138138334601. The next prime is 138138334667. The reversal of 138138334633 is 336433831831.

It is a happy number.

138138334633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138138334633 - 25 = 138138334601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138138334133) 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, 1141398 + ... + 1256608.

It is an arithmetic number, because the mean of its divisors is an integer number (9375376500).

Almost surely, 2138138334633 is an apocalyptic number.

138138334633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138138334633 is a deficient number, since it is larger than the sum of its proper divisors (11867689367).

138138334633 is a wasteful number, since it uses less digits than its factorization.

138138334633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115992.

The product of its digits is 1119744, while the sum is 46.

The spelling of 138138334633 in words is "one hundred thirty-eight billion, one hundred thirty-eight million, three hundred thirty-four thousand, six hundred thirty-three".

Divisors: 1 13 149 619 1937 8047 92231 115211 1199003 1497743 17166439 71315609 223163707 927102917 10626025741 138138334633