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384222546050 = 2527417892
BaseRepresentation
bin1011001011101010111…
…00101100100010000010
31100201202010111122222112
411211311130230202002
522243341432433200
6452302010335322
736521251520000
oct5456534544202
91321663448875
10384222546050
11138a47679762
126256b42a542
132a302a04685
141484ca01a70
159edb712535
hex597572c882

384222546050 has 90 divisors (see below), whose sum is σ = 834179599323. Its totient is φ = 131659809120.

The previous prime is 384222546041. The next prime is 384222546061. The reversal of 384222546050 is 50645222483.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 331657354609 + 52565191441 = 575897^2 + 229271^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=438305.

It is a junction number, because it is equal to n+sod(n) for n = 384222545989 and 384222546007.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 214768556 + ... + 214770344.

Almost surely, 2384222546050 is an apocalyptic number.

384222546050 is an abundant number, since it is smaller than the sum of its proper divisors (449957053273).

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

384222546050 is an frugal number, since it uses more digits than its factorization.

384222546050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 384222546050 in words is "three hundred eighty-four billion, two hundred twenty-two million, five hundred forty-six thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 490 686 1225 1715 1789 2401 2450 3430 3578 4802 8575 8945 12005 12523 17150 17890 24010 25046 44725 60025 62615 87661 89450 120050 125230 175322 313075 438305 613627 626150 876610 1227254 2191525 3068135 3200521 4295389 4383050 6136270 6401042 8590778 15340675 16002605 21476945 22403647 30681350 32005210 42953890 44807294 80013025 107384725 112018235 156825529 160026050 214769450 224036470 313651058 560091175 784127645 1097778703 1120182350 1568255290 2195557406 3920638225 5488893515 7684450921 7841276450 10977787030 15368901842 27444467575 38422254605 54888935150 76844509210 192111273025 384222546050