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1055495764224 = 2835111542473
BaseRepresentation
bin11110101110000000111…
…00110011100100000000
310201220102022111100100000
433113000130303210000
5114243123403423344
62124515453200000
7136154111652006
oct17270034634400
93656368440300
101055495764224
113776a6929a50
1215068b490000
13786c07c8255
143912ca0aa76
151c6c8840a69
hexf5c0733900

1055495764224 has 216 divisors, whose sum is σ = 3442876006752. Its totient is φ = 319846993920.

The previous prime is 1055495764129. The next prime is 1055495764231. The reversal of 1055495764224 is 4224675945501.

1055495764224 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 9 + 576 + 42 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×10554957642242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 86949 + ... + 1455524.

It is an arithmetic number, because the mean of its divisors is an integer number (15939240772).

Almost surely, 21055495764224 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 1055495764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721438003376).

1055495764224 is an abundant number, since it is smaller than the sum of its proper divisors (2387380242528).

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

1055495764224 is an equidigital number, since it uses as much as digits as its factorization.

1055495764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542515 (or 1542489 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 1055495764224 in words is "one trillion, fifty-five billion, four hundred ninety-five million, seven hundred sixty-four thousand, two hundred twenty-four".