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488226499488 = 253472131979197
BaseRepresentation
bin1110001101011001001…
…00010010101110100000
31201200012100021220210000
413012230210102232200
530444341440440423
61012142124140000
750162464526100
oct7065444225640
91650170256700
10488226499488
11179068149292
127a756097600
1337068bbb120
14198b7725200
15ca77203843
hex71ac912ba0

488226499488 has 1440 divisors, whose sum is σ = 1927143187200. Its totient is φ = 119830523904.

The previous prime is 488226499487. The next prime is 488226499499. The reversal of 488226499488 is 884994622884.

488226499488 is a `hidden beast` number, since 4 + 8 + 82 + 2 + 64 + 9 + 9 + 488 = 666.

It is a super-2 number, since 2×4882264994882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488226499487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2478307006 + ... + 2478307202.

It is an arithmetic number, because the mean of its divisors is an integer number (1338293880).

Almost surely, 2488226499488 is an apocalyptic number.

488226499488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488226499488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963571593600).

488226499488 is an abundant number, since it is smaller than the sum of its proper divisors (1438916687712).

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

488226499488 is a wasteful number, since it uses less digits than its factorization.

488226499488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 72.

The spelling of 488226499488 in words is "four hundred eighty-eight billion, two hundred twenty-six million, four hundred ninety-nine thousand, four hundred eighty-eight".