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1055130395904 = 2834133124073
BaseRepresentation
bin11110101101010101010…
…11000010010100000000
310201212110211222201020000
433112222223002110000
5114241401340132104
62124415322120000
7136142054246154
oct17265253022400
93655424881200
101055130395904
11377529668362
121505a9050000
1378662bc0b90
14390d629d064
151c6a671d639
hexf5aaac2500

1055130395904 has 540 divisors, whose sum is σ = 3501906765588. Its totient is φ = 314105610240.

The previous prime is 1055130395867. The next prime is 1055130395911. The reversal of 1055130395904 is 4095930315501.

1055130395904 is a `hidden beast` number, since 1 + 0 + 5 + 51 + 3 + 0 + 3 + 9 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133991138304 + 921139257600 = 366048^2 + 959760^2 .

It is a super-2 number, since 2×10551303959042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055130395904.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 259052812 + ... + 259056884.

Almost surely, 21055130395904 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 1055130395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750953382794).

1055130395904 is an abundant number, since it is smaller than the sum of its proper divisors (2446776369684).

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

1055130395904 is an equidigital number, since it uses as much as digits as its factorization.

1055130395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 1055130395904 in words is "one trillion, fifty-five billion, one hundred thirty million, three hundred ninety-five thousand, nine hundred four".