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7057906115584 = 21061213612
BaseRepresentation
bin110011010110100101111…
…1111001010010000000000
3220222201200121112102200211
41212231023333022100000
51411114042431144314
623002205102323504
71325626331061502
oct146551377122000
926881617472624
107057906115584
112281272004015
1295ba52589594
133c273332944c
141a5866991d72
15c38d41e69c4
hex66b4bfca400

7057906115584 has 99 divisors (see below), whose sum is σ = 14354552269083. Its totient is φ = 3468550963200.

The previous prime is 7057906115581. The next prime is 7057906115599. The reversal of 7057906115584 is 4855116097507.

The square root of 7057906115584 is 2656672.

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 4766921155584 + 2290984960000 = 2183328^2 + 1513600^2 .

It is a super-2 number, since 2×70579061155842 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7057906115581) 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, 5185823064 + ... + 5185824424.

Almost surely, 27057906115584 is an apocalyptic number.

7057906115584 is the 2656672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057906115584

7057906115584 is an abundant number, since it is smaller than the sum of its proper divisors (7296646153499).

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

7057906115584 is an frugal number, since it uses more digits than its factorization.

7057906115584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 58.

The spelling of 7057906115584 in words is "seven trillion, fifty-seven billion, nine hundred six million, one hundred fifteen thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1361 1952 2722 3721 3904 5444 7442 7808 10888 14884 15616 21776 29768 31232 43552 59536 62464 83021 87104 119072 166042 174208 238144 332084 348416 476288 664168 696832 952576 1328336 1393664 1852321 1905152 2656672 3704642 3810304 5064281 5313344 7409284 10128562 10626688 14818568 20257124 21253376 29637136 40514248 42506752 59274272 81028496 85013504 112991581 118548544 162056992 225983162 237097088 324113984 451966324 474194176 648227968 903932648 948388352 1296455936 1807865296 1896776704 2592911872 3615730592 5185823744 6892486441 7231461184 13784972882 14462922368 27569945764 28925844736 55139891528 57851689472 110279783056 115703378944 220559566112 441119132224 882238264448 1764476528896 3528953057792 7057906115584