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286775244196 = 227229213192
BaseRepresentation
bin1000010110001010010…
…00101111010110100100
31000102012212012211021121
410023011020233112210
514144303430303241
6335424232423324
726501362233100
oct4130510572644
91012185184247
10286775244196
11100691170551
12476b4547b44
132107301590c
14dc469cc900
1576d6662ad1
hex42c522f5a4

286775244196 has 81 divisors (see below), whose sum is σ = 605076138849. Its totient is φ = 118575651936.

The previous prime is 286775244163. The next prime is 286775244211. The reversal of 286775244196 is 691442577682.

The square root of 286775244196 is 535514.

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

It can be written as a sum of positive squares in only one way, i.e., 150377981796 + 136397262400 = 387786^2 + 369320^2 .

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 26 ways as a sum of consecutive naturals, for example, 217418025 + ... + 217419343.

Almost surely, 2286775244196 is an apocalyptic number.

286775244196 is the 535514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286775244196

286775244196 is an abundant number, since it is smaller than the sum of its proper divisors (318300894653).

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

286775244196 is an equidigital number, since it uses as much as digits as its factorization.

286775244196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 1357 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 61.

The spelling of 286775244196 in words is "two hundred eighty-six billion, seven hundred seventy-five million, two hundred forty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1319 1421 1682 2638 2842 3364 5276 5684 5887 9233 11774 18466 23548 36932 38251 41209 64631 76502 82418 129262 153004 164836 258524 267757 535514 1071028 1109279 1739761 1874299 2218558 3479522 3748598 4437116 6959044 7497196 7764953 12178327 15529906 24356654 31059812 48713308 50453069 54354671 85248289 100906138 108709342 170496578 201812276 217418684 340993156 353171483 706342966 1412685932 1463139001 2472200381 2926278002 4944400762 5852556004 9888801524 10241973007 20483946014 40967892028 71693811049 143387622098 286775244196