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20363330000 = 245413156641
BaseRepresentation
bin10010111101101111…
…111100000111010000
31221120011012100022102
4102331233330013100
5313201003030000
613204344455532
71320423310016
oct227557740720
957504170272
1020363330000
1186aa629252
123b4377a5a8
131bc6a4a2c0
14db26628b6
157e2ad93d5
hex4bdbfc1d0

20363330000 has 100 divisors (see below), whose sum is σ = 53094432468. Its totient is φ = 7518720000.

The previous prime is 20363329993. The next prime is 20363330017. The reversal of 20363330000 is 3336302.

It can be written as a sum of positive squares in 10 ways, for example, as 20119720336 + 243609664 = 141844^2 + 15608^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51680 + ... + 208320.

Almost surely, 220363330000 is an apocalyptic number.

20363330000 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 20363330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547216234).

20363330000 is an abundant number, since it is smaller than the sum of its proper divisors (32731102468).

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

20363330000 is a wasteful number, since it uses less digits than its factorization.

20363330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156682 (or 156661 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 20363330000 its reverse (3336302), we get a palindrome (20366666302).

The spelling of 20363330000 in words is "twenty billion, three hundred sixty-three million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 156641 313282 626564 783205 1253128 1566410 2036333 2506256 3132820 3916025 4072666 6265640 7832050 8145332 10181665 12531280 15664100 16290664 19580125 20363330 31328200 32581328 39160250 40726660 50908325 62656400 78320500 81453320 97900625 101816650 156641000 162906640 195801250 203633300 254541625 313282000 391602500 407266600 509083250 783205000 814533200 1018166500 1272708125 1566410000 2036333000 2545416250 4072666000 5090832500 10181665000 20363330000