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249421331296 = 25151436311831
BaseRepresentation
bin1110100001001010101…
…0110111101101100000
3212211210121020102220001
43220102222313231200
513041303330100141
6310325500425344
724006615222664
oct3502252675540
9784717212801
10249421331296
1196862925955
124040a848254
131a69c221687
14c101a1c8a4
15674c111a31
hex3a12ab7b60

249421331296 has 48 divisors (see below), whose sum is σ = 494455304448. Its totient is φ = 123845904000.

The previous prime is 249421331273. The next prime is 249421331317. The reversal of 249421331296 is 692133124942.

It is a happy number.

249421331296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2494213312962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21076101 + ... + 21087931.

It is an arithmetic number, because the mean of its divisors is an integer number (10301152176).

Almost surely, 2249421331296 is an apocalyptic number.

It is an amenable number.

249421331296 is a deficient number, since it is larger than the sum of its proper divisors (245033973152).

249421331296 is a wasteful number, since it uses less digits than its factorization.

249421331296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16355 (or 16347 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The spelling of 249421331296 in words is "two hundred forty-nine billion, four hundred twenty-one million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 151 302 604 1208 2416 4363 4832 8726 11831 17452 23662 34904 47324 69808 94648 139616 189296 378592 658813 1317626 1786481 2635252 3572962 5270504 7145924 10541008 14291848 21082016 28583696 51618653 57167392 103237306 206474612 412949224 825898448 1651796896 7794416603 15588833206 31177666412 62355332824 124710665648 249421331296