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56104080769 = 1126123532
BaseRepresentation
bin110100010000000100…
…000101010110000001
312100210222201121021101
4310100010011112001
51404400121041034
641435053054401
74024211550412
oct642004052601
9170728647241
1056104080769
1121880322300
12aa59187401
1353a157a839
142a032b3809
1516d56db514
hexd10105581

56104080769 has 27 divisors (see below), whose sum is σ = 62873758857. Its totient is φ = 50025465600.

The previous prime is 56104080761. The next prime is 56104080793. The reversal of 56104080769 is 96708040165.

The square root of 56104080769 is 236863.

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 23193767025 + 32910313744 = 152295^2 + 181412^2 .

It is not a de Polignac number, because 56104080769 - 23 = 56104080761 is a prime.

It is a super-2 number, since 2×561040807692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56104080761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158934897 + ... + 158935249.

Almost surely, 256104080769 is an apocalyptic number.

56104080769 is the 236863-rd square number.

56104080769 is the 118432-nd centered octagonal number.

It is an amenable number.

56104080769 is a deficient number, since it is larger than the sum of its proper divisors (6769678088).

56104080769 is an frugal number, since it uses more digits than its factorization.

56104080769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 56104080769 in words is "fifty-six billion, one hundred four million, eighty thousand, seven hundred sixty-nine".

Divisors: 1 11 61 121 353 671 3721 3883 7381 21533 40931 42713 124609 236863 450241 1313513 1370699 2605493 7601149 14448643 15077689 83612639 158935073 463670089 919739029 5100370979 56104080769