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498892620672 = 27326111362827
BaseRepresentation
bin1110100001010000101…
…00010100001110000000
31202200201200111000101100
413100220110110032000
531133213002330142
61021104344134400
751021011210235
oct7205024241600
91680650430340
10498892620672
11182640972a76
1280832167400
13380788b5334
141a20a12378c
15ce9d7e0b4c
hex7428514380

498892620672 has 192 divisors, whose sum is σ = 1472086427760. Its totient is φ = 162121236480.

The previous prime is 498892620671. The next prime is 498892620713. The reversal of 498892620672 is 276026298894.

498892620672 is a `hidden beast` number, since 498 + 89 + 2 + 6 + 2 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498892620671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7909323 + ... + 7972149.

Almost surely, 2498892620672 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 498892620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736043213880).

498892620672 is an abundant number, since it is smaller than the sum of its proper divisors (973193807088).

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

498892620672 is a wasteful number, since it uses less digits than its factorization.

498892620672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63021 (or 63006 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 498892620672 in words is "four hundred ninety-eight billion, eight hundred ninety-two million, six hundred twenty thousand, six hundred seventy-two".