Search a number
-
+
1056323980800 = 29345211234027
BaseRepresentation
bin11110101111100011101…
…00001100111000000000
310201222120000221002220000
433113301310030320000
5114301322414341200
62125134000520000
7136213456455414
oct17276164147000
93658500832800
101056323980800
11377a91392360
12150880920000
13787c327a42a
14391aa9dcd44
151c7263dd300
hexf5f1d0ce00

1056323980800 has 1200 divisors, whose sum is σ = 4451482265472. Its totient is φ = 244883865600.

The previous prime is 1056323980783. The next prime is 1056323980843. The reversal of 1056323980800 is 80893236501.

It is a happy number.

1056323980800 is a `hidden beast` number, since 1 + 0 + 5 + 632 + 3 + 9 + 8 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×10563239808002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 262308387 + ... + 262312413.

Almost surely, 21056323980800 is an apocalyptic number.

1056323980800 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 1056323980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225741132736).

1056323980800 is an abundant number, since it is smaller than the sum of its proper divisors (3395158284672).

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

1056323980800 is a wasteful number, since it uses less digits than its factorization.

1056323980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1056323980800 in words is "one trillion, fifty-six billion, three hundred twenty-three million, nine hundred eighty thousand, eight hundred".