Search a number
-
+
293674748268 = 223112396730813
BaseRepresentation
bin1000100011000000110…
…00010000100101101100
31001002000200211221120110
410101200120100211230
514302421213421033
6342525021020020
730134351113236
oct4214030204554
91032020757513
10293674748268
11103601815030
1248abb0b4610
13219025633c5
14102dd069256
15798c22a363
hex446061096c

293674748268 has 48 divisors (see below), whose sum is σ = 780037284096. Its totient is φ = 85123114560.

The previous prime is 293674748267. The next prime is 293674748317. The reversal of 293674748268 is 862847476392.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 293674748199 and 293674748208.

It is not an unprimeable number, because it can be changed into a prime (293674748267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48362371 + ... + 48368442.

It is an arithmetic number, because the mean of its divisors is an integer number (16250776752).

Almost surely, 2293674748268 is an apocalyptic number.

It is an amenable number.

293674748268 is an abundant number, since it is smaller than the sum of its proper divisors (486362535828).

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

293674748268 is a wasteful number, since it uses less digits than its factorization.

293674748268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96730854 (or 96730852 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 293674748268 in words is "two hundred ninety-three billion, six hundred seventy-four million, seven hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 96730813 193461626 290192439 386923252 580384878 1064038943 1160769756 2128077886 2224808699 3192116829 4256155772 4449617398 6384233658 6674426097 8899234796 12768467316 13348852194 24472895689 26697704388 48945791378 73418687067 97891582756 146837374134 293674748268