Search a number
-
+
42704540724 = 2234189519697
BaseRepresentation
bin100111110001011000…
…111001010000110100
311002020011010102220110
4213301120321100310
51144424330300344
631341310303020
73041154415116
oct476130712064
9132204112813
1042704540724
111712466656a
1283397b7a70
134047498a11
1420d18633b6
15119e1673b9
hex9f1639434

42704540724 has 48 divisors (see below), whose sum is σ = 102096199296. Its totient is φ = 13884672000.

The previous prime is 42704540713. The next prime is 42704540743.

42704540724 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4399044 + ... + 4408740.

It is an arithmetic number, because the mean of its divisors is an integer number (2127004152).

Almost surely, 242704540724 is an apocalyptic number.

It is an amenable number.

42704540724 is an abundant number, since it is smaller than the sum of its proper divisors (59391658572).

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

42704540724 is a wasteful number, since it uses less digits than its factorization.

42704540724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18696 (or 18694 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 39.

The spelling of 42704540724 in words is "forty-two billion, seven hundred four million, five hundred forty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 8951 9697 17902 19394 26853 29091 35804 38788 53706 58182 107412 116364 366991 397577 733982 795154 1100973 1192731 1467964 1590308 2201946 2385462 4403892 4770924 86797847 173595694 260393541 347191388 520787082 1041574164 3558711727 7117423454 10676135181 14234846908 21352270362 42704540724