Search a number
-
+
138677776831 = 1153721132987
BaseRepresentation
bin1000000100100111010…
…1101111000110111111
3111020221200200222112201
42001021311233012333
54233003002324311
6143412510012331
713006364440156
oct2011165570677
9436850628481
10138677776831
11538a3a98320
1222a62aa70a7
1310100975a19
1469d7ba459d
153919ae19c1
hex2049d6f1bf

138677776831 has 16 divisors (see below), whose sum is σ = 154165327488. Its totient is φ = 123671111200.

The previous prime is 138677776813. The next prime is 138677776843.

138677776831 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 138677776831 - 221 = 138675679679 is a prime.

It is a super-2 number, since 2×1386777768312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138077776831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4187520 + ... + 4220506.

It is an arithmetic number, because the mean of its divisors is an integer number (9635332968).

Almost surely, 2138677776831 is an apocalyptic number.

138677776831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138677776831 is a deficient number, since it is larger than the sum of its proper divisors (15487550657).

138677776831 is a wasteful number, since it uses less digits than its factorization.

138677776831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40262.

The product of its digits is 49787136, while the sum is 64.

The spelling of 138677776831 in words is "one hundred thirty-eight billion, six hundred seventy-seven million, seven hundred seventy-six thousand, eight hundred thirty-one".

Divisors: 1 11 53 583 7211 32987 79321 362857 382183 1748311 4204013 19231421 237869257 2616561827 12607070621 138677776831