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1082298992896 = 281122322572
BaseRepresentation
bin11111011111111100000…
…11000000100100000000
310211110121021111102212001
433233332003000210000
5120213022020233041
62145111251313344
7141123243435562
oct17577603004400
93743537442761
101082298992896
11388000625400
1215590b8ab854
137b0a27b2284
143a55266b332
151d2469a8131
hexfbfe0c0900

1082298992896 has 243 divisors, whose sum is σ = 2492051720473. Its totient is φ = 468733788160.

The previous prime is 1082298992861. The next prime is 1082298992911. The reversal of 1082298992896 is 6982998922801.

It is a happy number.

The square root of 1082298992896 is 1040336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1065519417600 + 16779575296 = 1032240^2 + 129536^2 .

It is a super-3 number, since 3×10822989928963 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4211280000 + ... + 4211280256.

Almost surely, 21082298992896 is an apocalyptic number.

1082298992896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1082298992896 is the 1040336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082298992896

1082298992896 is an abundant number, since it is smaller than the sum of its proper divisors (1409752727577).

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

1082298992896 is an frugal number, since it uses more digits than its factorization.

1082298992896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 73.

The spelling of 1082298992896 in words is "one trillion, eighty-two billion, two hundred ninety-eight million, nine hundred ninety-two thousand, eight hundred ninety-six".