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5374771200 = 2153852
BaseRepresentation
bin1010000000101110…
…01000000000000000
3111212120120200000000
411000113020000000
542001420134300
62245200000000
7250122541611
oct50027100000
914776520000
105374771200
112308a11177
121060000000
136786a8ab6
1438db79c08
15216cd4c00
hex1405c8000

5374771200 has 432 divisors, whose sum is σ = 19992827985. Its totient is φ = 1433272320.

The previous prime is 5374771189. The next prime is 5374771217. The reversal of 5374771200 is 21774735.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)2 ⋅ 4! ⋅ (3!)3 ⋅ 2!.

It can be written as a sum of positive squares in 2 ways, for example, as 5267275776 + 107495424 = 72576^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=51840.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1074954238 + ... + 1074954242.

Almost surely, 25374771200 is an apocalyptic number.

5374771200 is a gapful number since it is divisible by the number (50) 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 5374771200

5374771200 is an abundant number, since it is smaller than the sum of its proper divisors (14618056785).

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

5374771200 is an frugal number, since it uses more digits than its factorization.

5374771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5374771200 is about 73312.8310734212. The cubic root of 5374771200 is about 1751.6741747251.

Multiplying 5374771200 by its product of nonzero digits (41160), we get a cube (221225582592000 = 604803).

The spelling of 5374771200 in words is "five billion, three hundred seventy-four million, seven hundred seventy-one thousand, two hundred".