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492265011456 = 28324723112
BaseRepresentation
bin1110010100111010100…
…01111111100100000000
31202001121210110120201100
413022131101333210000
531031124320331311
61014050551334400
750364533362341
oct7123521774400
91661553416640
10492265011456
1117a84a847089
127b4a2681400
13375607a4c8a
1419b7bc220c8
15cc11a34a56
hex729d47f900

492265011456 has 243 divisors, whose sum is σ = 1454840124283. Its totient is φ = 160080706560.

The previous prime is 492265011421. The next prime is 492265011457. The reversal of 492265011456 is 654110562294.

The square root of 492265011456 is 701616.

It is a perfect power (a square), and thus also a powerful number.

492265011456 is a `hidden beast` number, since 4 + 92 + 2 + 6 + 501 + 1 + 4 + 56 = 666.

It is a super-2 number, since 2×4922650114562 (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 (492265011457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1582845541 + ... + 1582845851.

Almost surely, 2492265011456 is an apocalyptic number.

492265011456 is the 701616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492265011456

492265011456 is an abundant number, since it is smaller than the sum of its proper divisors (962575112827).

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

492265011456 is an frugal number, since it uses more digits than its factorization.

492265011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 492265011456 in words is "four hundred ninety-two billion, two hundred sixty-five million, eleven thousand, four hundred fifty-six".