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992014200000 = 263255599341
BaseRepresentation
bin11100110111110001010…
…01110110110011000000
310111211120011201202022200
432123320221312303000
5112223121113400000
62035420335033200
7131446015400205
oct16337051666300
93454504652280
10992014200000
1135279017718a
1214031366b800
1372714987bb5
14360299d7cac
151ac10623500
hexe6f8a76cc0

992014200000 has 504 divisors, whose sum is σ = 3614684739120. Its totient is φ = 260025600000.

The previous prime is 992014199989. The next prime is 992014200049. The reversal of 992014200000 is 2410299.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106195330 + ... + 106204670.

It is an arithmetic number, because the mean of its divisors is an integer number (7171993530).

Almost surely, 2992014200000 is an apocalyptic number.

992014200000 is a gapful number since it is divisible by the number (90) 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 992014200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807342369560).

992014200000 is an abundant number, since it is smaller than the sum of its proper divisors (2622670539120).

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

992014200000 is an equidigital number, since it uses as much as digits as its factorization.

992014200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 992014200000 its reverse (2410299), we get a palindrome (992016610299).

The spelling of 992014200000 in words is "nine hundred ninety-two billion, fourteen million, two hundred thousand".