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21245822592 = 273596591423
BaseRepresentation
bin10011110010010110…
…011000011010000000
32000211122202121120020
4103302112120122000
5322002412310332
613432111413440
71351330340511
oct236226303200
960748677506
1021245822592
119012792a75
12414b224280
132007823c77
141057942a08
1584530882c
hex4f2598680

21245822592 has 128 divisors (see below), whose sum is σ = 57518208000. Its totient is φ = 6946458624.

The previous prime is 21245822551. The next prime is 21245822593. The reversal of 21245822592 is 29522854212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×212458225922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21245822593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14929593 + ... + 14931015.

It is an arithmetic number, because the mean of its divisors is an integer number (449361000).

Almost surely, 221245822592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21245822592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28759104000).

21245822592 is an abundant number, since it is smaller than the sum of its proper divisors (36272385408).

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

21245822592 is a wasteful number, since it uses less digits than its factorization.

21245822592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2146 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 21245822592 in words is "twenty-one billion, two hundred forty-five million, eight hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 659 708 944 1318 1416 1423 1888 1977 2636 2832 2846 3776 3954 4269 5272 5664 5692 7552 7908 8538 10544 11328 11384 15816 17076 21088 22656 22768 31632 34152 38881 42176 45536 63264 68304 77762 83957 84352 91072 116643 126528 136608 155524 167914 182144 233286 251871 253056 273216 311048 335828 466572 503742 546432 622096 671656 933144 937757 1007484 1244192 1343312 1866288 1875514 2014968 2488384 2686624 2813271 3732576 3751028 4029936 4976768 5373248 5626542 7465152 7502056 8059872 10746496 11253084 14930304 15004112 16119744 22506168 30008224 32239488 45012336 55327663 60016448 90024672 110655326 120032896 165982989 180049344 221310652 331965978 360098688 442621304 663931956 885242608 1327863912 1770485216 2655727824 3540970432 5311455648 7081940864 10622911296 21245822592