Search a number
-
+
42674647624 = 2372412655217
BaseRepresentation
bin100111101111100110…
…110111001001001000
311002011001212201021121
4213233212313021020
51144344202210444
631334321445024
73040342343200
oct475746671110
9132131781247
1042674647624
11171097a9424
12832b7a0774
1340412305ab
1420cb8c1400
15119b710084
hex9ef9b7248

42674647624 has 48 divisors (see below), whose sum is σ = 95348878380. Its totient is φ = 17843051520.

The previous prime is 42674647621. The next prime is 42674647633.

42674647624 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 29292322500 + 13382325124 = 171150^2 + 115682^2 .

It is a super-2 number, since 2×426746476242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42674647621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1311537 + ... + 1343680.

Almost surely, 242674647624 is an apocalyptic number.

It is an amenable number.

42674647624 is an abundant number, since it is smaller than the sum of its proper divisors (52674230756).

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

42674647624 is a wasteful number, since it uses less digits than its factorization.

42674647624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655278 (or 2655267 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 52.

The spelling of 42674647624 in words is "forty-two billion, six hundred seventy-four million, six hundred forty-seven thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072 2655217 5310434 10620868 18586519 21241736 37173038 74346076 108863897 130105633 148692152 217727794 260211266 435455588 520422532 762047279 870911176 1040845064 1524094558 3048189116 5334330953 6096378232 10668661906 21337323812 42674647624