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2055513600 = 29325272549
BaseRepresentation
bin111101010000100…
…1010011000000000
312022020210220120100
41322201022120000
513202202413400
6535544442400
7101636402010
oct17241123000
95266726510
102055513600
11965313878
12494479400
13269b1324a
14156dc9c40
15c06cb100
hex7a84a600

2055513600 has 360 divisors, whose sum is σ = 8410287600. Its totient is φ = 469647360.

The previous prime is 2055513599. The next prime is 2055513601. The reversal of 2055513600 is 63155502.

2055513600 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 51 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2055513599) and next prime (2055513601).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055513601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805126 + ... + 807674.

It is an arithmetic number, because the mean of its divisors is an integer number (23361910).

Almost surely, 22055513600 is an apocalyptic number.

2055513600 is a gapful number since it is divisible by the number (20) 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 2055513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205143800).

2055513600 is an abundant number, since it is smaller than the sum of its proper divisors (6354774000).

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

2055513600 is a wasteful number, since it uses less digits than its factorization.

2055513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2055513600 is about 45337.7723316883. The cubic root of 2055513600 is about 1271.4719536000.

The spelling of 2055513600 in words is "two billion, fifty-five million, five hundred thirteen thousand, six hundred".