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5756325120 = 2832571317219
BaseRepresentation
bin1010101110001101…
…01000110100000000
3112212011112121120200
411113012220310000
543242104400440
62351110005200
7262434645660
oct52706506400
915764477520
105756325120
112494328297
121147946800
1370975c350
143c86dc1a0
1523a552c30
hex1571a8d00

5756325120 has 1296 divisors, whose sum is σ = 27409549440. Its totient is φ = 1082916864.

The previous prime is 5756325119. The next prime is 5756325121. The reversal of 5756325120 is 215236575.

5756325120 is a `hidden beast` number, since 5 + 7 + 5 + 632 + 5 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5756325119) and next prime (5756325121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5756325121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302964471 + ... + 302964489.

Almost surely, 25756325120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704774720).

5756325120 is an abundant number, since it is smaller than the sum of its proper divisors (21653224320).

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

5756325120 is a wasteful number, since it uses less digits than its factorization.

5756325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5756325120 is about 75870.4495834841. The cubic root of 5756325120 is about 1792.1805993579.

The spelling of 5756325120 in words is "five billion, seven hundred fifty-six million, three hundred twenty-five thousand, one hundred twenty".