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5635822112 = 252325772
BaseRepresentation
bin1010011111110101…
…11101001000100000
3112112202210102112022
411033322331020200
543020232301422
62331123121012
7256442461154
oct51772751040
915482712468
105635822112
112432302628
121113513168
136ba7ba4ab
143b66d1064
1522eb9d342
hex14febd220

5635822112 has 54 divisors (see below), whose sum is σ = 11619050373. Its totient is φ = 2690721792.

The previous prime is 5635822111. The next prime is 5635822117. The reversal of 5635822112 is 2112285365.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3285123856 + 2350698256 = 57316^2 + 48484^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=53084.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5635822111) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 9767168 + ... + 9767744.

Almost surely, 25635822112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5635822112

5635822112 is an abundant number, since it is smaller than the sum of its proper divisors (5983228261).

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

5635822112 is an frugal number, since it uses more digits than its factorization.

5635822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 602 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 5635822112 is about 75072.1127450134. The cubic root of 5635822112 is about 1779.5864578167.

Multiplying 5635822112 by its product of digits (28800), we get a square (162311676825600 = 127401602).

The spelling of 5635822112 in words is "five billion, six hundred thirty-five million, eight hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 577 736 1058 1154 2116 2308 4232 4616 8464 9232 13271 16928 18464 26542 53084 106168 212336 305233 332929 424672 610466 665858 1220932 1331716 2441864 2663432 4883728 5326864 7657367 9767456 10653728 15314734 30629468 61258936 122517872 176119441 245035744 352238882 704477764 1408955528 2817911056 5635822112