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5270745600 = 293352101151
BaseRepresentation
bin1001110100010100…
…10011001000000000
3111121022211121201000
410322022103020000
541243302324400
62231002212000
7244420412151
oct47212231000
914538747630
105270745600
1122652201aa
1210311b4000
1365cc85ba3
1438001b928
1520cad7600
hex13a293200

5270745600 has 480 divisors, whose sum is σ = 19667134080. Its totient is φ = 1382400000.

The previous prime is 5270745593. The next prime is 5270745653. The reversal of 5270745600 is 65470725.

5270745600 is a `hidden beast` number, since 5 + 2 + 7 + 0 + 7 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34905525 + ... + 34905675.

It is an arithmetic number, because the mean of its divisors is an integer number (40973196).

Almost surely, 25270745600 is an apocalyptic number.

5270745600 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 5270745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833567040).

5270745600 is an abundant number, since it is smaller than the sum of its proper divisors (14396388480).

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

5270745600 is a wasteful number, since it uses less digits than its factorization.

5270745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5270745600 is about 72599.9008263785. The cubic root of 5270745600 is about 1740.2995916954.

The spelling of 5270745600 in words is "five billion, two hundred seventy million, seven hundred forty-five thousand, six hundred".