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14575705000 = 23544197733
BaseRepresentation
bin11011001001100011…
…11001101110101000
31101121210202112100221
431210301321232220
5214322340030000
610410155535424
71024125306523
oct154461715650
941553675327
1014575705000
1161aa67299a
1229a945a574
1314b397c41c
149c3b37bba
155a495261a
hex364c79ba8

14575705000 has 160 divisors (see below), whose sum is σ = 35392701960. Its totient is φ = 5621760000.

The previous prime is 14575704977. The next prime is 14575705003. The reversal of 14575705000 is 50757541.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 5554124676 + 9021580324 = 74526^2 + 94982^2 .

It is not an unprimeable number, because it can be changed into a prime (14575705003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19884634 + ... + 19885366.

Almost surely, 214575705000 is an apocalyptic number.

14575705000 is a gapful number since it is divisible by the number (10) 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 14575705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696350980).

14575705000 is an abundant number, since it is smaller than the sum of its proper divisors (20816996960).

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

14575705000 is an equidigital number, since it uses as much as digits as its factorization.

14575705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 34.

The spelling of 14575705000 in words is "fourteen billion, five hundred seventy-five million, seven hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 97 100 125 164 194 200 205 250 328 388 410 485 500 625 733 776 820 970 1000 1025 1250 1466 1640 1940 2050 2425 2500 2932 3665 3880 3977 4100 4850 5000 5125 5864 7330 7954 8200 9700 10250 12125 14660 15908 18325 19400 19885 20500 24250 25625 29320 30053 31816 36650 39770 41000 48500 51250 60106 60625 71101 73300 79540 91625 97000 99425 102500 120212 121250 142202 146600 150265 159080 183250 198850 205000 240424 242500 284404 300530 355505 366500 397700 458125 485000 497125 568808 601060 711010 733000 751325 795400 916250 994250 1202120 1422020 1502650 1777525 1832500 1988500 2485625 2844040 2915141 3005300 3555050 3665000 3756625 3977000 4971250 5830282 6010600 7110100 7513250 8887625 9942500 11660564 14220200 14575705 15026500 17775250 18783125 19885000 23321128 29151410 30053000 35550500 37566250 44438125 58302820 71101000 72878525 75132500 88876250 116605640 145757050 150265000 177752500 291514100 355505000 364392625 583028200 728785250 1457570500 1821963125 2915141000 3643926250 7287852500 14575705000