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2063013138 = 2361783233
BaseRepresentation
bin111101011110111…
…0001010100010010
312022202220221000000
41322331301110102
513211112410023
6540413310430
7102060215364
oct17275612422
95282827000
102063013138
1196957633a
12496a95416
1326b53a944
14157dbcd34
15c11ad243
hex7af71512

2063013138 has 56 divisors (see below), whose sum is σ = 4912637148. Its totient is φ = 647212032.

The previous prime is 2063013131. The next prime is 2063013149. The reversal of 2063013138 is 8313103602.

It is a happy number.

2063013138 is a `hidden beast` number, since 2 + 0 + 630 + 13 + 13 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1620626049 + 442387089 = 40257^2 + 21033^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2063013131) 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 27 ways as a sum of consecutive naturals, for example, 16831 + ... + 66402.

Almost surely, 22063013138 is an apocalyptic number.

2063013138 is an abundant number, since it is smaller than the sum of its proper divisors (2849624010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2063013138 is an equidigital number, since it uses as much as digits as its factorization.

2063013138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83270 (or 83255 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2063013138 is about 45420.4044235628. The cubic root of 2063013138 is about 1273.0163979320.

The spelling of 2063013138 in words is "two billion, sixty-three million, thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2754 4131 8262 12393 24786 83233 166466 249699 499398 749097 1414961 1498194 2247291 2829922 4244883 4494582 6741873 8489766 12734649 13483746 20225619 25469298 38203947 40451238 60676857 76407894 114611841 121353714 229223682 343835523 687671046 1031506569 2063013138