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5706332500 = 225411593517
BaseRepresentation
bin1010101000001111…
…11011100101010100
3112201200110201121011
411110013323211110
543141310120000
62342122302004
7261260011621
oct52407734524
915650421534
105706332500
112469092080
121133057904
136cc2a740b
143c1c07348
15235e7a2ba
hex1541fb954

5706332500 has 120 divisors (see below), whose sum is σ = 13847692320. Its totient is φ = 2039280000.

The previous prime is 5706332497. The next prime is 5706332531. The reversal of 5706332500 is 52336075.

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 39 ways as a sum of consecutive naturals, for example, 1620742 + ... + 1624258.

It is an arithmetic number, because the mean of its divisors is an integer number (115397436).

Almost surely, 25706332500 is an apocalyptic number.

5706332500 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 5706332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923846160).

5706332500 is an abundant number, since it is smaller than the sum of its proper divisors (8141359820).

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

5706332500 is a wasteful number, since it uses less digits than its factorization.

5706332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 5706332500 is about 75540.2707170156. The cubic root of 5706332500 is about 1786.9772543487.

Adding to 5706332500 its reverse (52336075), we get a palindrome (5758668575).

The spelling of 5706332500 in words is "five billion, seven hundred six million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 125 220 236 250 275 295 500 550 590 625 649 1100 1180 1250 1298 1375 1475 2500 2596 2750 2950 3245 3517 5500 5900 6490 6875 7034 7375 12980 13750 14068 14750 16225 17585 27500 29500 32450 35170 36875 38687 64900 70340 73750 77374 81125 87925 147500 154748 162250 175850 193435 207503 324500 351700 386870 405625 415006 439625 773740 811250 830012 879250 967175 1037515 1622500 1758500 1934350 2075030 2198125 2282533 3868700 4150060 4396250 4565066 4835875 5187575 8792500 9130132 9671750 10375150 11412665 19343500 20750300 22825330 24179375 25937875 45650660 48358750 51875750 57063325 96717500 103751500 114126650 129689375 228253300 259378750 285316625 518757500 570633250 1141266500 1426583125 2853166250 5706332500