Search a number
-
+
138179781927 = 3311588179111
BaseRepresentation
bin1000000010110000101…
…0000010010100100111
3111012122222122012222000
42000230022002110213
54230443011010202
6143251240140343
712661136524035
oct2005412022447
9435588565860
10138179781927
1153668980390
12229441676b3
1310051743495
14698b9b1555
1538db02291c
hex202c282527

138179781927 has 32 divisors (see below), whose sum is σ = 223361656320. Its totient is φ = 83730024000.

The previous prime is 138179781923. The next prime is 138179781959. The reversal of 138179781927 is 729187971831.

138179781927 is a `hidden beast` number, since 1 + 381 + 7 + 97 + 81 + 92 + 7 = 666.

It is not a de Polignac number, because 138179781927 - 22 = 138179781923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138179781923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707102 + ... + 1786212.

It is an arithmetic number, because the mean of its divisors is an integer number (6980051760).

Almost surely, 2138179781927 is an apocalyptic number.

138179781927 is a deficient number, since it is larger than the sum of its proper divisors (85181874393).

138179781927 is a wasteful number, since it uses less digits than its factorization.

138179781927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85012 (or 85006 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 63.

The spelling of 138179781927 in words is "one hundred thirty-eight billion, one hundred seventy-nine million, seven hundred eighty-one thousand, nine hundred twenty-seven".

Divisors: 1 3 9 11 27 33 99 297 5881 17643 52929 64691 79111 158787 194073 237333 582219 711999 870221 1746657 2135997 2610663 7831989 23495967 465251791 1395755373 4187266119 5117769701 12561798357 15353309103 46059927309 138179781927