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20721920000 = 2115416189
BaseRepresentation
bin10011010011000111…
…110110100000000000
31222111010221121022112
4103103013312200000
5314414302420000
613304114354452
71332336261635
oct232307664000
958433847275
1020721920000
118873a90221
12402388ba28
131c53120332
14100812818c
1581431d235
hex4d31f6800

20721920000 has 120 divisors (see below), whose sum is σ = 51778777050. Its totient is φ = 8288256000.

The previous prime is 20721919963. The next prime is 20721920069. The reversal of 20721920000 is 2912702.

It can be written as a sum of positive squares in 5 ways, for example, as 197346304 + 20524573696 = 14048^2 + 143264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1271906 + ... + 1288094.

Almost surely, 220721920000 is an apocalyptic number.

20721920000 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 20721920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889388525).

20721920000 is an abundant number, since it is smaller than the sum of its proper divisors (31056857050).

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

20721920000 is an frugal number, since it uses more digits than its factorization.

20721920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16231 (or 16196 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 20721920000 in words is "twenty billion, seven hundred twenty-one million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 5000 5120 6400 8000 10000 10240 12800 16000 16189 20000 25600 32000 32378 40000 51200 64000 64756 80000 80945 128000 129512 160000 161890 256000 259024 320000 323780 404725 518048 640000 647560 809450 1036096 1280000 1295120 1618900 2023625 2072192 2590240 3237800 4047250 4144384 5180480 6475600 8094500 8288768 10118125 10360960 12951200 16189000 16577536 20236250 20721920 25902400 32378000 33155072 40472500 41443840 51804800 64756000 80945000 82887680 103609600 129512000 161890000 165775360 207219200 259024000 323780000 414438400 518048000 647560000 828876800 1036096000 1295120000 2072192000 2590240000 4144384000 5180480000 10360960000 20721920000