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57287096742976 = 26532178512
BaseRepresentation
bin11010000011010001100010…
…00011010011010001000000
321111211121000021021220012221
431001220301003103101000
530002042433231233401
6321501155014300424
715031566442634602
oct1501506103232100
9244747007256187
1057287096742976
1117287359704751
126512758957714
1325c71c484b679
1410209d2ddb172
1569527ed2a7a1
hex341a310d3440

57287096742976 has 63 divisors (see below), whose sum is σ = 115870931546853. Its totient is φ = 28101529747200.

The previous prime is 57287096742959. The next prime is 57287096742977. The reversal of 57287096742976 is 67924769078275.

The square root of 57287096742976 is 7568824.

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., 41298102849600 + 15988993893376 = 6426360^2 + 3998624^2 .

It is a super-2 number, since 2×572870967429762 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57287096742896 and 57287096742905.

It is not an unprimeable number, because it can be changed into a prime (57287096742977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3209172451 + ... + 3209190301.

Almost surely, 257287096742976 is an apocalyptic number.

57287096742976 is the 7568824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57287096742976

57287096742976 is an abundant number, since it is smaller than the sum of its proper divisors (58583834803877).

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

57287096742976 is an frugal number, since it uses more digits than its factorization.

57287096742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35820 (or 17906 counting only the distinct ones).

The product of its (nonzero) digits is 4480842240, while the sum is 79.

The spelling of 57287096742976 in words is "fifty-seven trillion, two hundred eighty-seven billion, ninety-six million, seven hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 11236 17851 22472 35702 44944 71404 89888 142808 179776 285616 571232 946103 1142464 1892206 3784412 7568824 15137648 30275296 50143459 60550592 100286918 200573836 318658201 401147672 637316402 802295344 1274632804 1604590688 2549265608 3209181376 5098531216 10197062432 16888884653 20394124864 33777769306 67555538612 135111077224 270222154448 540444308896 895110886609 1080888617792 1790221773218 3580443546436 7160887092872 14321774185744 28643548371488 57287096742976