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5656560500 = 225361191971
BaseRepresentation
bin1010100010010100…
…00100001101110100
3112121012211001020202
411101022010031310
543041034414000
62333143420032
7260113654013
oct52112041564
915535731222
105656560500
112442a87698
12111a454618
136c1b9ba26
143b936ca7a
152318e7dd5
hex151284374

5656560500 has 96 divisors (see below), whose sum is σ = 12635191296. Its totient is φ = 2211600000.

The previous prime is 5656560493. The next prime is 5656560523. The reversal of 5656560500 is 50656565.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5825015 + ... + 5825985.

It is an arithmetic number, because the mean of its divisors is an integer number (131616576).

Almost surely, 25656560500 is an apocalyptic number.

5656560500 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 5656560500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317595648).

5656560500 is an abundant number, since it is smaller than the sum of its proper divisors (6978630796).

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

5656560500 is a wasteful number, since it uses less digits than its factorization.

5656560500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The square root of 5656560500 is about 75210.1090279758. The cubic root of 5656560500 is about 1781.7665939827.

The spelling of 5656560500 in words is "five billion, six hundred fifty-six million, five hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 191 244 250 305 382 500 610 764 955 971 1220 1525 1910 1942 3050 3820 3884 4775 4855 6100 7625 9550 9710 11651 15250 19100 19420 23302 23875 24275 30500 46604 47750 48550 58255 59231 95500 97100 116510 118462 121375 185461 233020 236924 242750 291275 296155 370922 485500 582550 592310 741844 927305 1165100 1184620 1456375 1480775 1854610 2912750 2961550 3709220 4636525 5825500 5923100 7403875 9273050 11313121 14807750 18546100 22626242 23182625 29615500 45252484 46365250 56565605 92730500 113131210 226262420 282828025 565656050 1131312100 1414140125 2828280250 5656560500