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21718061000 = 235317275149
BaseRepresentation
bin10100001110011111…
…110100111111001000
32002001120100210212122
4110032133310333020
5323434310423000
613551021230412
71366123321046
oct241637647710
962046323778
1021718061000
119235308749
124261402408
132081608b8c
1410a054d396
158719db085
hex50e7f4fc8

21718061000 has 96 divisors (see below), whose sum is σ = 53986257000. Its totient is φ = 8176102400.

The previous prime is 21718060997. The next prime is 21718061009. The reversal of 21718061000 is 16081712.

It can be written as a sum of positive squares in 12 ways, for example, as 1337072356 + 20380988644 = 36566^2 + 142762^2 .

It is not an unprimeable number, because it can be changed into a prime (21718061009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251426 + ... + 326574.

Almost surely, 221718061000 is an apocalyptic number.

21718061000 is a gapful number since it is divisible by the number (20) 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 21718061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26993128500).

21718061000 is an abundant number, since it is smaller than the sum of its proper divisors (32268196000).

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

21718061000 is a wasteful number, since it uses less digits than its factorization.

21718061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75204 (or 75173 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 21718061000 in words is "twenty-one billion, seven hundred eighteen million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 680 850 1000 1156 1445 1700 2125 2312 2890 3400 4250 5780 7225 8500 11560 14450 17000 28900 36125 57800 72250 75149 144500 150298 289000 300596 375745 601192 751490 1277533 1502980 1878725 2555066 3005960 3757450 5110132 6387665 7514900 9393625 10220264 12775330 15029800 18787250 21718061 25550660 31938325 37574500 43436122 51101320 63876650 75149000 86872244 108590305 127753300 159691625 173744488 217180610 255506600 319383250 434361220 542951525 638766500 868722440 1085903050 1277533000 2171806100 2714757625 4343612200 5429515250 10859030500 21718061000