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575255503936 = 2611328392
BaseRepresentation
bin10000101111011111110…
…01100110010001000000
32000222211112201102012001
420113233321212101000
533411110402111221
61120134013513344
756363240051041
oct10275771462100
92028745642161
10575255503936
11201a6780a453
12935a3aa2854
1342328342969
141dbb1c0a8c8
15ee6c81a391
hex85efe66440

575255503936 has 63 divisors (see below), whose sum is σ = 1153088367301. Its totient is φ = 284742585344.

The previous prime is 575255503913. The next prime is 575255503939. The reversal of 575255503936 is 639305552575.

It is a happy number.

The square root of 575255503936 is 758456.

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., 10136462400 + 565119041536 = 100680^2 + 751744^2 .

It is a super-2 number, since 2×5752555039362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (575255503939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 685643805 + ... + 685644643.

Almost surely, 2575255503936 is an apocalyptic number.

575255503936 is the 758456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575255503936

575255503936 is an abundant number, since it is smaller than the sum of its proper divisors (577832863365).

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

575255503936 is an frugal number, since it uses more digits than its factorization.

575255503936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 21262500, while the sum is 55.

The spelling of 575255503936 in words is "five hundred seventy-five billion, two hundred fifty-five million, five hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 226 452 839 904 1678 1808 3356 3616 6712 7232 12769 13424 25538 26848 51076 53696 94807 102152 189614 204304 379228 408608 703921 758456 817216 1407842 1516912 2815684 3033824 5631368 6067648 10713191 11262736 21426382 22525472 42852764 45050944 79543073 85705528 159086146 171411056 318172292 342822112 636344584 685644224 1272689168 2545378336 5090756672 8988367249 17976734498 35953468996 71906937992 143813875984 287627751968 575255503936