Search a number
-
+
2138686458741 = 33750322939811
BaseRepresentation
bin11111000111110011101…
…001011000101101110101
321120110022201212220212000
4133013303221120231311
5240020012213134431
64314255441045513
7310341433645020
oct37076351305565
97513281786760
102138686458741
11755014828a38
122a65a9926899
131268a5c59a01
14757278741b7
153a9737369e6
hex1f1f3a58b75

2138686458741 has 64 divisors (see below), whose sum is σ = 3630207651840. Its totient is φ = 1219020736320.

The previous prime is 2138686458737. The next prime is 2138686458749. The reversal of 2138686458741 is 1478546868312.

2138686458741 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 6 + 8 + 6 + 4 + 587 + 41 = 666.

It is not a de Polignac number, because 2138686458741 - 22 = 2138686458737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138686458749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217983726 + ... + 217993536.

It is an arithmetic number, because the mean of its divisors is an integer number (56721994560).

Almost surely, 22138686458741 is an apocalyptic number.

2138686458741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2138686458741 is a deficient number, since it is larger than the sum of its proper divisors (1491521193099).

2138686458741 is a wasteful number, since it uses less digits than its factorization.

2138686458741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623 (or 12617 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 2138686458741 in words is "two trillion, one hundred thirty-eight billion, six hundred eighty-six million, four hundred fifty-eight thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 503 1509 2293 3521 4527 6879 9811 10563 13581 16051 20637 29433 31689 48153 61911 68677 88299 95067 144459 206031 264897 433377 618093 1153379 1854279 3460137 4934933 8073653 10380411 14804799 22496623 24220959 31141233 34544531 44414397 67489869 72662877 103633593 133243191 157476361 202469607 217988631 310900779 472429083 607408821 932702337 1417287249 4251861747 11315801369 33947404107 79210609583 101842212321 237631828749 305526636963 712895486247 2138686458741