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109282854376336 = 241721537332
BaseRepresentation
bin11000110110010001100101…
…101101110001001110010000
3112022221100011000112110100111
4120312101211231301032100
5103310442241210020321
61024231503352131104
732006266002350164
oct3066214555611620
9468840130473314
10109282854376336
113190366432a793
121030b8ba996a94
1348c9437915194
141cdb465890ca4
15c97a702ba5e1
hex636465b71390

109282854376336 has 45 divisors (see below), whose sum is σ = 224924673531891. Its totient is φ = 51426891065856.

The previous prime is 109282854376307. The next prime is 109282854376343. The reversal of 109282854376336 is 633673458282901.

The square root of 109282854376336 is 10453844.

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 13670441390736 + 95612412985600 = 3697356^2 + 9778160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 710784526 + ... + 710938258.

It is a 1-persistent number, because it is pandigital, but 2⋅109282854376336 = 218565708752672 is not.

Almost surely, 2109282854376336 is an apocalyptic number.

109282854376336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109282854376336 is the 10453844-th square number.

It is an amenable number.

109282854376336 is an abundant number, since it is smaller than the sum of its proper divisors (115641819155555).

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

109282854376336 is an frugal number, since it uses more digits than its factorization.

109282854376336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307508 (or 153752 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 109282854376336 in words is "one hundred nine trillion, two hundred eighty-two billion, eight hundred fifty-four million, three hundred seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 153733 307466 614932 1229864 2459728 2613461 5226922 10453844 20907688 41815376 44428837 88857674 177715348 355430696 710861392 23633835289 47267670578 94535341156 189070682312 378141364624 401775199913 803550399826 1607100799652 3214201599304 6428403198608 6830178398521 13660356797042 27320713594084 54641427188168 109282854376336