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20728913472 = 263415725469
BaseRepresentation
bin10011010011100010…
…100001111001000000
31222111122002220120000
4103103202201321000
5314423100212342
613304524320000
71332452600031
oct232342417100
958448086500
1020728913472
118877a27553
1240260a3000
131c546cb597
141009028a88
15814c5044c
hex4d38a1e40

20728913472 has 140 divisors (see below), whose sum is σ = 61840803420. Its totient is φ = 6865357824.

The previous prime is 20728913453. The next prime is 20728913477. The reversal of 20728913472 is 27431982702.

20728913472 is a `hidden beast` number, since 20 + 7 + 289 + 1 + 347 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11309046336 + 9419867136 = 106344^2 + 97056^2 .

It is not an unprimeable number, because it can be changed into a prime (20728913477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 801154 + ... + 826622.

Almost surely, 220728913472 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 20728913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30920401710).

20728913472 is an abundant number, since it is smaller than the sum of its proper divisors (41111889948).

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

20728913472 is a wasteful number, since it uses less digits than its factorization.

20728913472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25650 (or 25631 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20728913472 in words is "twenty billion, seven hundred twenty-eight million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 157 162 192 216 288 314 324 432 471 576 628 648 864 942 1256 1296 1413 1728 1884 2512 2592 2826 3768 4239 5024 5184 5652 7536 8478 10048 11304 12717 15072 16956 22608 25434 25469 30144 33912 45216 50868 50938 67824 76407 90432 101736 101876 135648 152814 203472 203752 229221 271296 305628 406944 407504 458442 611256 687663 813888 815008 916884 1222512 1375326 1630016 1833768 2062989 2445024 2750652 3667536 3998633 4125978 4890048 5501304 7335072 7997266 8251956 11002608 11995899 14670144 15994532 16503912 22005216 23991798 31989064 33007824 35987697 44010432 47983596 63978128 66015648 71975394 95967192 107963091 127956256 132031296 143950788 191934384 215926182 255912512 287901576 323889273 383868768 431852364 575803152 647778546 767737536 863704728 1151606304 1295557092 1727409456 2303212608 2591114184 3454818912 5182228368 6909637824 10364456736 20728913472