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20808062500 = 22565772
BaseRepresentation
bin10011011000010000…
…011101011000100100
31222201011001002121111
4103120100131120210
5320103331000000
613320432554404
71334433420151
oct233020353044
958634032544
1020808062500
118908677375
1240486b2a04
131c67c21524
14101574d228
1581bb86cba
hex4d841d624

20808062500 has 63 divisors (see below), whose sum is σ = 45596076519. Its totient is φ = 8308800000.

The previous prime is 20808062417. The next prime is 20808062501. The reversal of 20808062500 is 526080802.

The square root of 20808062500 is 144250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 19258223076 + 1549839424 = 138774^2 + 39368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20808062501) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 36062212 + ... + 36062788.

Almost surely, 220808062500 is an apocalyptic number.

20808062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20808062500 is the 144250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20808062500

20808062500 is an abundant number, since it is smaller than the sum of its proper divisors (24788014019).

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

20808062500 is an frugal number, since it uses more digits than its factorization.

20808062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 20808062500 in words is "twenty billion, eight hundred eight million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 577 625 1154 1250 2308 2500 2885 3125 5770 6250 11540 12500 14425 15625 28850 31250 57700 62500 72125 144250 288500 332929 360625 665858 721250 1331716 1442500 1664645 1803125 3329290 3606250 6658580 7212500 8323225 9015625 16646450 18031250 33292900 36062500 41616125 83232250 166464500 208080625 416161250 832322500 1040403125 2080806250 4161612500 5202015625 10404031250 20808062500