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53727067681 = 72331132
BaseRepresentation
bin110010000010011000…
…011111111000100001
312010200022221211022121
4302002120133320201
51340013112131211
640403141304241
73611256353200
oct620230377041
9163608854277
1053727067681
1120870590181
12a4b5105081
1350b2c7ca11
142859719237
1515e6ba6271
hexc8261fe21

53727067681 has 9 divisors (see below), whose sum is σ = 62500721331. Its totient is φ = 46050381552.

The previous prime is 53727067651. The next prime is 53727067687. The reversal of 53727067681 is 18676072735.

The square root of 53727067681 is 231791.

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., 12835757025 + 40891310656 = 113295^2 + 202216^2 .

It is not a de Polignac number, because 53727067681 - 27 = 53727067553 is a prime.

It is a super-2 number, since 2×537270676812 (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 (53727067687) 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, 1605981 + ... + 1639093.

Almost surely, 253727067681 is an apocalyptic number.

53727067681 is the 231791-st square number.

53727067681 is the 115896-th centered octagonal number.

It is an amenable number.

53727067681 is a deficient number, since it is larger than the sum of its proper divisors (8773653650).

53727067681 is an frugal number, since it uses more digits than its factorization.

53727067681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66240 (or 33120 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 53727067681 in words is "fifty-three billion, seven hundred twenty-seven million, sixty-seven thousand, six hundred eighty-one".

Divisors: 1 7 49 33113 231791 1622537 1096470769 7675295383 53727067681