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16313922490880 = 295719239433463
BaseRepresentation
bin1110110101100110000110…
…0011100001001000000000
32010202121002022022122112002
43231121201203201020000
54114241403124202010
654410302412323132
73302433131116430
oct355314143411000
963677068278462
1016313922490880
11521a771a41183
1219b58b77734a8
1391451c8583b1
1440585311c2c0
151d45689ac1a5
hexed6618e1200

16313922490880 has 640 divisors, whose sum is σ = 47464162099200. Its totient is φ = 5253229707264.

The previous prime is 16313922490841. The next prime is 16313922490993. The reversal of 16313922490880 is 8809422931361.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×163139224908802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35235253529 + ... + 35235253991.

It is an arithmetic number, because the mean of its divisors is an integer number (74162753280).

Almost surely, 216313922490880 is an apocalyptic number.

16313922490880 is a gapful number since it is divisible by the number (10) 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 16313922490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732081049600).

16313922490880 is an abundant number, since it is smaller than the sum of its proper divisors (31150239608320).

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

16313922490880 is a wasteful number, since it uses less digits than its factorization.

16313922490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 16313922490880 in words is "sixteen trillion, three hundred thirteen billion, nine hundred twenty-two million, four hundred ninety thousand, eight hundred eighty".