Search a number
-
+
2163442121631 = 327731094315741
BaseRepresentation
bin11111011110110111001…
…100101111101110011111
321122211020000000220011100
4133132313030233232133
5240421212140343011
64333512132524143
7312206053421220
oct37366714575637
97584200026140
102163442121631
1176456874996a
122ab358480653
1312901c98424b
14769d55b7247
153b421c42d56
hex1f7b732fb9f

2163442121631 has 48 divisors (see below), whose sum is σ = 3653534547520. Its totient is φ = 1208130992640.

The previous prime is 2163442121609. The next prime is 2163442121657. The reversal of 2163442121631 is 1361212443612.

2163442121631 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 4 + 4 + 2 + 12 + 1 + 631 = 666.

It is not a de Polignac number, because 2163442121631 - 226 = 2163375012767 is a prime.

It is a super-2 number, since 2×21634421216312 (a number of 25 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 (2163442122631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1656580 + ... + 2659161.

Almost surely, 22163442121631 is an apocalyptic number.

2163442121631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2163442121631 is a deficient number, since it is larger than the sum of its proper divisors (1490092425889).

2163442121631 is a wasteful number, since it uses less digits than its factorization.

2163442121631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315936 (or 4315933 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 2163442121631 in words is "two trillion, one hundred sixty-three billion, four hundred forty-two million, one hundred twenty-one thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 63 73 109 219 327 511 657 763 981 1533 2289 4599 6867 7957 23871 55699 71613 167097 501291 4315741 12947223 30210187 38841669 90630561 271891683 315049093 470415769 945147279 1411247307 2205343651 2835441837 3292910383 4233741921 6616030953 9878731149 19848092859 29636193447 34340351137 103021053411 240382457959 309063160233 721147373877 2163442121631