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490516159724976 = 2437111729993127107
BaseRepresentation
bin110111110000111110011000…
…1011101001111110110110000
32101022202212221112221012010010
41233201330301131033312300
51003243104043342144401
64455124002442534520
7205214423464622520
oct15741746135176660
92338685845835103
10490516159724976
1113232580a486860
1247021399507440
1318091624564998
14891b1747bd680
153ba96b7134ed6
hex1be1f3174fdb0

490516159724976 has 640 divisors, whose sum is σ = 1730696302632960. Its totient is φ = 115761442406400.

The previous prime is 490516159724933. The next prime is 490516159724989. The reversal of 490516159724976 is 679427951615094.

It is a super-2 number, since 2×4905161597249762 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 490516159724898 and 490516159724907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18095539615 + ... + 18095566721.

It is an arithmetic number, because the mean of its divisors is an integer number (2704212972864).

Almost surely, 2490516159724976 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 490516159724976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865348151316480).

490516159724976 is an abundant number, since it is smaller than the sum of its proper divisors (1240180142907984).

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

490516159724976 is a wasteful number, since it uses less digits than its factorization.

490516159724976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37113 (or 37107 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 75.

The spelling of 490516159724976 in words is "four hundred ninety trillion, five hundred sixteen billion, one hundred fifty-nine million, seven hundred twenty-four thousand, nine hundred seventy-six".