Search a number
-
+
20655405225 = 32527131935227
BaseRepresentation
bin10011001111001010…
…000111100010101001
31222022111210022012100
4103033022013202221
5314300240431400
613253341004013
71330601022210
oct231712074251
958274708170
1020655405225
11883a48a734
124005553609
131c42401c90
14ddd372077
1580d580100
hex4cf2878a9

20655405225 has 144 divisors (see below), whose sum is σ = 45778375552. Its totient is φ = 8669306880.

The previous prime is 20655405193. The next prime is 20655405259. The reversal of 20655405225 is 52250455602.

20655405225 is a `hidden beast` number, since 2 + 0 + 65 + 540 + 52 + 2 + 5 = 666.

It is not a de Polignac number, because 20655405225 - 25 = 20655405193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20655405225.

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 143 ways as a sum of consecutive naturals, for example, 3949062 + ... + 3954288.

Almost surely, 220655405225 is an apocalyptic number.

20655405225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20655405225 is an abundant number, since it is smaller than the sum of its proper divisors (25122970327).

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

20655405225 is a wasteful number, since it uses less digits than its factorization.

20655405225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 20655405225 in words is "twenty billion, six hundred fifty-five million, four hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 193 195 225 273 315 325 455 525 579 585 819 965 975 1351 1365 1575 1737 2275 2509 2895 2925 4053 4095 4825 5227 6755 6825 7527 8685 12159 12545 14475 15681 17563 20265 20475 22581 26135 33775 36589 37635 43425 47043 52689 60795 62725 67951 78405 87815 101325 109767 112905 130675 158067 182945 188175 203853 235215 263445 303975 329301 339755 392025 439075 475657 548835 564525 611559 790335 914725 1008811 1019265 1176075 1317225 1426971 1646505 1698775 2378285 2744175 3026433 3057795 3951675 4280913 5044055 5096325 7061677 7134855 8232525 9079299 11891425 13114543 15132165 15288975 21185031 21404565 25220275 35308385 35674275 39343629 45396495 63555093 65572715 75660825 91801801 105925155 107022825 118030887 176541925 196718145 226982475 275405403 317775465 327863575 459009005 529625775 590154435 826216209 983590725 1377027015 1588877325 2295045025 2950772175 4131081045 6885135075 20655405225