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138057244601 = 4752310335437
BaseRepresentation
bin1000000010010011011…
…0100101111110111001
3111012100110001200100112
42000210312211332321
54230220123311401
6143231141514105
712655121134253
oct2004466457671
9435313050315
10138057244601
1153605796271
122290b112935
131003223b6a3
1469795d4cd3
1538d03ba3bb
hex2024da5fb9

138057244601 has 16 divisors (see below), whose sum is σ = 141426979584. Its totient is φ = 134706167424.

The previous prime is 138057244489. The next prime is 138057244621. The reversal of 138057244601 is 106442750831.

138057244601 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 138057244601 - 234 = 120877375417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138057244621) 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, 25389455 + ... + 25394891.

It is an arithmetic number, because the mean of its divisors is an integer number (8839186224).

Almost surely, 2138057244601 is an apocalyptic number.

It is an amenable number.

138057244601 is a deficient number, since it is larger than the sum of its proper divisors (3369734983).

138057244601 is a wasteful number, since it uses less digits than its factorization.

138057244601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 138057244601 in words is "one hundred thirty-eight billion, fifty-seven million, two hundred forty-four thousand, six hundred one".

Divisors: 1 47 523 1033 5437 24581 48551 255539 540259 2843551 5616421 25392173 133646897 263971787 2937388183 138057244601