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20789025856 = 266722692
BaseRepresentation
bin10011010111000111…
…110101110001000000
31222122211012221020121
4103113013311301000
5320033442311411
613314512550024
71334112542554
oct232707656100
958584187217
1020789025856
1188a8954905
124042252314
131c63cb7741
141012dd5864
1581a176571
hex4d71f5c40

20789025856 has 63 divisors (see below), whose sum is σ = 42034392309. Its totient is φ = 10201306368.

The previous prime is 20789025833. The next prime is 20789025877. The reversal of 20789025856 is 65852098702.

The square root of 20789025856 is 144184.

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

It can be written as a sum of positive squares in only one way, i.e., 1367816256 + 19421209600 = 36984^2 + 139360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77282490 + ... + 77282758.

Almost surely, 220789025856 is an apocalyptic number.

20789025856 is the 144184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20789025856

20789025856 is an abundant number, since it is smaller than the sum of its proper divisors (21245366453).

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

20789025856 is an frugal number, since it uses more digits than its factorization.

20789025856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 20789025856 in words is "twenty billion, seven hundred eighty-nine million, twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 269 536 538 1072 1076 2144 2152 4288 4304 4489 8608 8978 17216 17956 18023 35912 36046 71824 72092 72361 143648 144184 144722 287296 288368 289444 576736 578888 1153472 1157776 1207541 2315552 2415082 4631104 4830164 4848187 9660328 9696374 19320656 19392748 38641312 38785496 77282624 77570992 155141984 310283968 324828529 649657058 1299314116 2598628232 5197256464 10394512928 20789025856