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249198643204 = 227218121972
BaseRepresentation
bin1110100000010101100…
…1011000100000000100
3212211020002012201020221
43220011121120200010
513040324323040304
6310251423434124
724001242342400
oct3500531304004
9784202181227
10249198643204
1196759157005
1240368155944
131a665052584
14c0c0212100
1567377c5054
hex3a05658804

249198643204 has 81 divisors (see below), whose sum is σ = 512718032799. Its totient is φ = 105670232640.

The previous prime is 249198643193. The next prime is 249198643231. The reversal of 249198643204 is 402346891942.

The square root of 249198643204 is 499198.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 349316100 + 248849327104 = 18690^2 + 498848^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1264967634 + ... + 1264967830.

Almost surely, 2249198643204 is an apocalyptic number.

249198643204 is the 499198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249198643204

249198643204 is an abundant number, since it is smaller than the sum of its proper divisors (263519389595).

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

249198643204 is an equidigital number, since it uses as much as digits as its factorization.

249198643204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 249198643204 in words is "two hundred forty-nine billion, one hundred ninety-eight million, six hundred forty-three thousand, two hundred four".

Divisors: 1 2 4 7 14 28 49 98 181 196 197 362 394 724 788 1267 1379 2534 2758 5068 5516 8869 9653 17738 19306 32761 35476 35657 38612 38809 65522 71314 77618 131044 142628 155236 229327 249599 271663 458654 499198 543326 917308 998396 1086652 1605289 1747193 1901641 3210578 3494386 3803282 6421156 6453917 6988772 7024429 7606564 12907834 14048858 25815668 28097716 45177419 49171003 90354838 98342006 180709676 196684012 316241933 344197021 632483866 688394042 1264967732 1271421649 1376788084 2542843298 5085686596 8899951543 17799903086 35599806172 62299660801 124599321602 249198643204