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1055475457344 = 263272112378353
BaseRepresentation
bin11110101101111110011…
…11010101110101000000
310201220100220021122112100
433112333033111311000
5114243103204113334
62124513450030400
7136153444234200
oct17267717256500
93656326248470
101055475457344
1137769641a100
12150684718400
13786b9538249
143912a042400
151c6c6b7dc99
hexf5bf3d5d40

1055475457344 has 756 divisors, whose sum is σ = 3973302563412. Its totient is φ = 266708090880.

The previous prime is 1055475457343. The next prime is 1055475457409. The reversal of 1055475457344 is 4437545745501.

1055475457344 is a `hidden beast` number, since 1 + 0 + 5 + 54 + 7 + 545 + 7 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 833408319744 + 222067137600 = 912912^2 + 471240^2 .

It is a super-2 number, since 2×10554754573442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055475457343) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 126354672 + ... + 126363024.

Almost surely, 21055475457344 is an apocalyptic number.

1055475457344 is a gapful number since it is divisible by the number (14) 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 1055475457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986651281706).

1055475457344 is an abundant number, since it is smaller than the sum of its proper divisors (2917827106068).

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

1055475457344 is a wasteful number, since it uses less digits than its factorization.

1055475457344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8444 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 54.

The spelling of 1055475457344 in words is "one trillion, fifty-five billion, four hundred seventy-five million, four hundred fifty-seven thousand, three hundred forty-four".