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497041754112 = 211345356533
BaseRepresentation
bin1110011101110011111…
…11110100100000000000
31202111221200202020210000
413032321333310200000
531120420142112422
61020200545440000
750624105125641
oct7167177644000
91674850666700
10497041754112
11181881126592
12803b6340000
1337b422c5617
141a0b23a96c8
15cde108acac
hex73b9ff4800

497041754112 has 240 divisors, whose sum is σ = 1512664973820. Its totient is φ = 162551660544.

The previous prime is 497041754093. The next prime is 497041754117. The reversal of 497041754112 is 211457140794.

497041754112 is a `hidden beast` number, since 4 + 9 + 70 + 417 + 54 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 478952580096 + 18089174016 = 692064^2 + 134496^2 .

It is not an unprimeable number, because it can be changed into a prime (497041754117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8763798 + ... + 8820330.

Almost surely, 2497041754112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497041754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756332486910).

497041754112 is an abundant number, since it is smaller than the sum of its proper divisors (1015623219708).

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

497041754112 is an equidigital number, since it uses as much as digits as its factorization.

497041754112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56620 (or 56591 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 497041754112 in words is "four hundred ninety-seven billion, forty-one million, seven hundred fifty-four thousand, one hundred twelve".