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5755965300 = 22385231283
BaseRepresentation
bin1010101110001010…
…10000111101110100
3112212010212100000000
411113011100331310
543242011342200
62351054151300
7262431616641
oct52705207564
915763770000
105755965300
112494101a18
1211477b2530
13709664637
143c8646dc8
1523a4d1300
hex157150f74

5755965300 has 324 divisors, whose sum is σ = 19407396736. Its totient is φ = 1480161600.

The previous prime is 5755965283. The next prime is 5755965361. The reversal of 5755965300 is 35695575.

5755965300 is a `hidden beast` number, since 5 + 7 + 5 + 596 + 53 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×57559653002 = 66262273069608180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20338959 + ... + 20339241.

Almost surely, 25755965300 is an apocalyptic number.

5755965300 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 5755965300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9703698368).

5755965300 is an abundant number, since it is smaller than the sum of its proper divisors (13651431436).

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

5755965300 is a wasteful number, since it uses less digits than its factorization.

5755965300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 45.

The square root of 5755965300 is about 75868.0782674769. The cubic root of 5755965300 is about 1792.1432563282.

The spelling of 5755965300 in words is "five billion, seven hundred fifty-five million, nine hundred sixty-five thousand, three hundred".