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21457300000 = 2555229937
BaseRepresentation
bin10011111110111101…
…000110101000100000
32001101101200210000211
4103332331012220200
5322421032100000
613505104223504
71356506016643
oct237675065040
961341623024
1021457300000
1191110a5094
1241aa00ab94
13203c599426
141077a71a5a
15858b7d7ba
hex4fef46a20

21457300000 has 144 divisors (see below), whose sum is σ = 53088867720. Its totient is φ = 8536320000.

The previous prime is 21457299979. The next prime is 21457300019. The reversal of 21457300000 is 375412.

It can be written as a sum of positive squares in 12 ways, for example, as 10274660496 + 11182639504 = 101364^2 + 105748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22899532 + ... + 22900468.

Almost surely, 221457300000 is an apocalyptic number.

21457300000 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 21457300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544433860).

21457300000 is an abundant number, since it is smaller than the sum of its proper divisors (31631567720).

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

21457300000 is an frugal number, since it uses more digits than its factorization.

21457300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

Adding to 21457300000 its reverse (375412), we get a palindrome (21457675412).

The spelling of 21457300000 in words is "twenty-one billion, four hundred fifty-seven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 937 1000 1145 1250 1832 1874 2000 2290 2500 3125 3664 3748 4000 4580 4685 5000 5725 6250 7328 7496 9160 9370 10000 11450 12500 14992 18320 18740 20000 22900 23425 25000 28625 29984 36640 37480 45800 46850 50000 57250 74960 91600 93700 100000 114500 117125 143125 149920 183200 187400 214573 229000 234250 286250 374800 429146 458000 468500 572500 585625 715625 749600 858292 916000 937000 1072865 1145000 1171250 1431250 1716584 1874000 2145730 2290000 2342500 2862500 2928125 3433168 3748000 4291460 4580000 4685000 5364325 5725000 5856250 6866336 8582920 9370000 10728650 11450000 11712500 17165840 18740000 21457300 22900000 23425000 26821625 34331680 42914600 46850000 53643250 85829200 93700000 107286500 134108125 171658400 214573000 268216250 429146000 536432500 670540625 858292000 1072865000 1341081250 2145730000 2682162500 4291460000 5364325000 10728650000 21457300000