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489729606120 = 233451495091993
BaseRepresentation
bin1110010000001100010…
…10001100000111101000
31201211002002122122110000
413020012022030013220
531010431234343440
61012551221023000
750244645653136
oct7100612140750
91654062578400
10489729606120
11179769660577
127aab5554a60
133724842a431
14199bb1d6756
15cb14163730
hex720628c1e8

489729606120 has 320 divisors, whose sum is σ = 1661171490000. Its totient is φ = 129398280192.

The previous prime is 489729606059. The next prime is 489729606143. The reversal of 489729606120 is 21606927984.

489729606120 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 2 + 9 + 606 + 1 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 245256714756 + 244472891364 = 495234^2 + 494442^2 .

It is a super-2 number, since 2×4897296061202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 245723844 + ... + 245725836.

Almost surely, 2489729606120 is an apocalyptic number.

489729606120 is a gapful number since it is divisible by the number (40) 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 489729606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830585745000).

489729606120 is an abundant number, since it is smaller than the sum of its proper divisors (1171441883880).

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

489729606120 is a wasteful number, since it uses less digits than its factorization.

489729606120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 489729606120 in words is "four hundred eighty-nine billion, seven hundred twenty-nine million, six hundred six thousand, one hundred twenty".