Search a number
-
+
2643254040042 = 2327111907109697
BaseRepresentation
bin100110011101101110001…
…101111101010111101010
3100100200200220210210201100
4212131232031331113222
5321301341013240132
65342143311302230
7361653204426060
oct46355615752752
910320626723640
102643254040042
11929aa7aa5910
1236834451a976
13162347483bc5
1491d11556030
1548b5535737c
hex2676e37d5ea

2643254040042 has 48 divisors (see below), whose sum is σ = 7140218709312. Its totient is φ = 686559490560.

The previous prime is 2643254040017. The next prime is 2643254040043. The reversal of 2643254040042 is 2400404523462.

2643254040042 is a `hidden beast` number, since 2 + 6 + 4 + 32 + 540 + 40 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2643254039979 and 2643254040006.

It is not an unprimeable number, because it can be changed into a prime (2643254040043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953553463 + ... + 953556234.

It is an arithmetic number, because the mean of its divisors is an integer number (148754556444).

Almost surely, 22643254040042 is an apocalyptic number.

2643254040042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2643254040042 is an abundant number, since it is smaller than the sum of its proper divisors (4496964669270).

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

2643254040042 is a wasteful number, since it uses less digits than its factorization.

2643254040042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907109723 (or 1907109720 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 2643254040042 in words is "two trillion, six hundred forty-three billion, two hundred fifty-four million, forty thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1907109697 3814219394 5721329091 11442658182 13349767879 17163987273 20978206667 26699535758 34327974546 40049303637 41956413334 62934620001 80098607274 120147910911 125869240002 146847446669 188803860003 240295821822 293694893338 377607720006 440542340007 881084680014 1321627020021 2643254040042