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1055110644 = 2233717531549
BaseRepresentation
bin111110111000111…
…011010111110100
32201112101011201000
4332320323113310
54130102020034
6252410403300
735101202220
oct7670732764
92645334630
101055110644
114a1645275
12255430530
1313a794833
14a01b5780
156296a599
hex3ee3b5f4

1055110644 has 192 divisors, whose sum is σ = 3374784000. Its totient is φ = 278194176.

The previous prime is 1055110643. The next prime is 1055110723. The reversal of 1055110644 is 4460115501.

1055110644 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 1 + 10 + 644 = 666.

It is a super-5 number, since 5×10551106445 (a number of 46 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055110643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680382 + ... + 681930.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 21055110644 is an apocalyptic number.

1055110644 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 1055110644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1055110644 is an abundant number, since it is smaller than the sum of its proper divisors (2319673356).

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

1055110644 is a wasteful number, since it uses less digits than its factorization.

1055110644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1055110644 is about 32482.4667166766. The cubic root of 1055110644 is about 1018.0427171512.

The spelling of 1055110644 in words is "one billion, fifty-five million, one hundred ten thousand, six hundred forty-four".