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7057651077376 = 2817297672
BaseRepresentation
bin110011010110011110011…
…0010010001000100000000
3220222201000211122011001021
41212230330302101010000
51411113032133434001
623002123512115224
71325620113224044
oct146547462210400
926881024564037
107057651077376
11228115104a039
1295b9a1095b14
133c26c2541773
141a5840b64024
15c38bbb19ba1
hex66b3cc91100

7057651077376 has 81 divisors (see below), whose sum is σ = 14966702249989. Its totient is φ = 3320907517952.

The previous prime is 7057651077307. The next prime is 7057651077413. The reversal of 7057651077376 is 6737701567507.

The square root of 7057651077376 is 2656624.

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., 5494711046400 + 1562940030976 = 2344080^2 + 1250176^2 .

It is a super-2 number, since 2×70576510773762 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 722596845 + ... + 722606611.

Almost surely, 27057651077376 is an apocalyptic number.

7057651077376 is the 2656624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7057651077376

7057651077376 is an abundant number, since it is smaller than the sum of its proper divisors (7909051172613).

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

7057651077376 is an frugal number, since it uses more digits than its factorization.

7057651077376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 9786 counting only the distinct ones).

The product of its (nonzero) digits is 45378900, while the sum is 61.

The spelling of 7057651077376 in words is "seven trillion, fifty-seven billion, six hundred fifty-one million, seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 9248 9767 18496 19534 36992 39068 73984 78136 156272 166039 312544 332078 625088 664156 1250176 1328312 2500352 2656624 2822663 5313248 5645326 10626496 11290652 21252992 22581304 42505984 45162608 90325216 95394289 180650432 190788578 361300864 381577156 722601728 763154312 1526308624 1621702913 3052617248 3243405826 6105234496 6486811652 12210468992 12973623304 24420937984 25947246608 27568949521 51894493216 55137899042 103788986432 110275798084 207577972864 220551596168 415155945728 441103192336 882206384672 1764412769344 3528825538688 7057651077376