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492645360769 = 292242032
BaseRepresentation
bin1110010101100111111…
…00111010010010000001
31202002121022011022212221
413022303330322102001
531032414203021034
61014152415451041
750410132321432
oct7126374722201
91662538138787
10492645360769
1117aa25510161
127b589b26a81
13375c1526143
1419bb654d489
15cc35115bb4
hex72b3f3a481

492645360769 has 9 divisors (see below), whose sum is σ = 510239998723. Its totient is φ = 475637936872.

The previous prime is 492645360731. The next prime is 492645360803. The reversal of 492645360769 is 967063546294.

The square root of 492645360769 is 701887.

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., 258331277169 + 234314083600 = 508263^2 + 484060^2 .

It is not a de Polignac number, because 492645360769 - 29 = 492645360257 is a prime.

It is a super-2 number, since 2×4926453607692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (492645360709) 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, 20342622 + ... + 20366824.

Almost surely, 2492645360769 is an apocalyptic number.

492645360769 is the 701887-th square number.

492645360769 is the 350944-th centered octagonal number.

It is an amenable number.

492645360769 is a deficient number, since it is larger than the sum of its proper divisors (17594637954).

492645360769 is an frugal number, since it uses more digits than its factorization.

492645360769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48464 (or 24232 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 61.

The spelling of 492645360769 in words is "four hundred ninety-two billion, six hundred forty-five million, three hundred sixty thousand, seven hundred sixty-nine".

Divisors: 1 29 841 24203 701887 20354723 585785209 16987771061 492645360769