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803227425800 = 235212724992
BaseRepresentation
bin10111011000001000001…
…01011101110000001000
32211210021022002221212112
423230010011131300020
5101130002210111200
61412555251201452
7112013503316462
oct13540405356010
92753238087775
10803227425800
1128a712a3a548
1210b8072a6288
135a9897cb597
142ac3ac4d132
1515d6180b535
hexbb0415dc08

803227425800 has 108 divisors (see below), whose sum is σ = 1886104057005. Its totient is φ = 318122320320.

The previous prime is 803227425779. The next prime is 803227425827. The reversal of 803227425800 is 8524722308.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 787162877284 + 16064548516 = 887222^2 + 126746^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=633730.

It is a super-3 number, since 3×8032274258003 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1609673951 + ... + 1609674449.

Almost surely, 2803227425800 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 803227425800

803227425800 is an abundant number, since it is smaller than the sum of its proper divisors (1082876631205).

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

803227425800 is an equidigital number, since it uses as much as digits as its factorization.

803227425800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 803227425800 in words is "eight hundred three billion, two hundred twenty-seven million, four hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 499 508 635 998 1016 1270 1996 2495 2540 3175 3992 4990 5080 6350 9980 12475 12700 16129 19960 24950 25400 32258 49900 63373 64516 80645 99800 126746 129032 161290 249001 253492 316865 322580 403225 498002 506984 633730 645160 806450 996004 1245005 1267460 1584325 1612900 1992008 2490010 2534920 3168650 3225800 4980020 6225025 6337300 8048371 9960040 12450050 12674600 16096742 24900100 31623127 32193484 40241855 49800200 63246254 64386968 80483710 126492508 158115635 160967420 201209275 252985016 316231270 321934840 402418550 632462540 790578175 804837100 1264925080 1581156350 1609674200 3162312700 4016137129 6324625400 8032274258 16064548516 20080685645 32129097032 40161371290 80322742580 100403428225 160645485160 200806856450 401613712900 803227425800