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138202013741 = 1167792373667
BaseRepresentation
bin1000000010110101111…
…0110110000000101101
3111012201112110201021112
42000231132312000231
54231014203414431
6143253352441405
712661526506601
oct2005536660055
9435645421245
10138202013741
115367a485490
122294b6a9265
13100562286bc
14699091b501
1538dce64c2b
hex202d7b602d

138202013741 has 16 divisors (see below), whose sum is σ = 154953047040. Its totient is φ = 122196325680.

The previous prime is 138202013737. The next prime is 138202013759. The reversal of 138202013741 is 147310202831.

It is not a de Polignac number, because 138202013741 - 22 = 138202013737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138202013698 and 138202013707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138202013771) 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 15 ways as a sum of consecutive naturals, for example, 1128611 + ... + 1245056.

It is an arithmetic number, because the mean of its divisors is an integer number (9684565440).

Almost surely, 2138202013741 is an apocalyptic number.

138202013741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138202013741 is a deficient number, since it is larger than the sum of its proper divisors (16751033299).

138202013741 is a wasteful number, since it uses less digits than its factorization.

138202013741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373824.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 138202013741 in words is "one hundred thirty-eight billion, two hundred two million, thirteen thousand, seven hundred forty-one".

Divisors: 1 11 67 79 737 869 5293 58223 2373667 26110337 159035689 187519693 1749392579 2062716623 12563819431 138202013741