Search a number
-
+
2429397640248 = 233175954405981
BaseRepresentation
bin100011010110100011011…
…000100010010000111000
322121020200220021002002120
4203112203120202100320
5304300401243441443
65100014434401240
7340342511140035
oct43264330422070
98536626232076
102429397640248
118573356a7437
12332a00430220
13148125523ac7
148582509c38c
15432da6b8083
hex235a3622438

2429397640248 has 32 divisors (see below), whose sum is σ = 6430758460560. Its totient is φ = 762163965440.

The previous prime is 2429397640247. The next prime is 2429397640277. The reversal of 2429397640248 is 8420467939242.

It is a junction number, because it is equal to n+sod(n) for n = 2429397640191 and 2429397640200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429397640247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2977202583 + ... + 2977203398.

Almost surely, 22429397640248 is an apocalyptic number.

It is an amenable number.

2429397640248 is an abundant number, since it is smaller than the sum of its proper divisors (4001360820312).

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

2429397640248 is a wasteful number, since it uses less digits than its factorization.

2429397640248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954406007 (or 5954406003 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 2429397640248 in words is "two trillion, four hundred twenty-nine billion, three hundred ninety-seven million, six hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 5954405981 11908811962 17863217943 23817623924 35726435886 47635247848 71452871772 101224901677 142905743544 202449803354 303674705031 404899606708 607349410062 809799213416 1214698820124 2429397640248