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2642145033 = 3112361149383
BaseRepresentation
bin1001110101111011…
…1110111100001001
320211010122212121110
42131132332330021
520402342120113
61114102200533
7122321601513
oct23536767411
96733585543
102642145033
111136470740
12618a23149
1333150ac38
141b0c92bb3
15106e57bc3
hex9d7bef09

2642145033 has 64 divisors (see below), whose sum is σ = 4114022400. Its totient is φ = 1492550400.

The previous prime is 2642145031. The next prime is 2642145053. The reversal of 2642145033 is 3305412462.

It is not a de Polignac number, because 2642145033 - 21 = 2642145031 is a prime.

It is a super-3 number, since 3×26421450333 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2642145031) 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, 6898360 + ... + 6898742.

It is an arithmetic number, because the mean of its divisors is an integer number (64281600).

Almost surely, 22642145033 is an apocalyptic number.

2642145033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2642145033 is a deficient number, since it is larger than the sum of its proper divisors (1471877367).

2642145033 is a wasteful number, since it uses less digits than its factorization.

2642145033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2642145033 is about 51401.7999003926. The cubic root of 2642145033 is about 1382.4588650183.

Adding to 2642145033 its reverse (3305412462), we get a palindrome (5947557495).

The spelling of 2642145033 in words is "two billion, six hundred forty-two million, one hundred forty-five thousand, thirty-three".

Divisors: 1 3 11 23 33 61 69 149 183 253 383 447 671 759 1149 1403 1639 2013 3427 4209 4213 4917 8809 9089 10281 12639 15433 23363 26427 27267 37697 46299 57067 70089 96899 99979 113091 171201 209047 256993 290697 299937 537349 627141 627737 770979 1312541 1612047 1883211 2299517 3481087 3937623 5910839 6898551 10443261 14437951 17732517 38291957 43313853 80065001 114875871 240195003 880715011 2642145033