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21428275456 = 287213072
BaseRepresentation
bin10011111101001110…
…011000100100000000
32001022101002011211201
4103331032120210000
5322341114303311
613502150150544
71356004223200
oct237516304400
961271064751
1021428275456
1190a6780565
1241a0352454
132036576443
141073c78400
158563489c1
hex4fd398900

21428275456 has 81 divisors (see below), whose sum is σ = 49794266739. Its totient is φ = 9176520192.

The previous prime is 21428275439. The next prime is 21428275471. The reversal of 21428275456 is 65457282412.

The square root of 21428275456 is 146384.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16394355 + ... + 16395661.

Almost surely, 221428275456 is an apocalyptic number.

21428275456 is the 146384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21428275456

21428275456 is an abundant number, since it is smaller than the sum of its proper divisors (28365991283).

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

21428275456 is an frugal number, since it uses more digits than its factorization.

21428275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 1316 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 46.

The spelling of 21428275456 in words is "twenty-one billion, four hundred twenty-eight million, two hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1307 1568 1792 2614 3136 5228 6272 9149 10456 12544 18298 20912 36596 41824 64043 73192 83648 128086 146384 167296 256172 292768 334592 512344 585536 1024688 1171072 1708249 2049376 2342144 3416498 4098752 6832996 8197504 11957743 13665992 16395008 23915486 27331984 47830972 54663968 83704201 95661944 109327936 167408402 191323888 218655872 334816804 382647776 437311744 669633608 765295552 1339267216 1530591104 2678534432 3061182208 5357068864 10714137728 21428275456