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3820556565 = 35572319531
BaseRepresentation
bin1110001110111001…
…0001000100010101
3100212021001101100000
43203232101010111
530311030302230
61431035441513
7163451123610
oct34356210425
910767041300
103820556565
111690671771
128a75b6299
1348b6b3c77
142835a3177
1517562bb60
hexe3b91115

3820556565 has 96 divisors (see below), whose sum is σ = 8190314496. Its totient is φ = 1670518080.

The previous prime is 3820556561. The next prime is 3820556609. The reversal of 3820556565 is 5656550283.

3820556565 is a `hidden beast` number, since 3 + 8 + 20 + 5 + 565 + 65 = 666.

It is not a de Polignac number, because 3820556565 - 22 = 3820556561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3820556565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820556561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185850 + ... + 205380.

It is an arithmetic number, because the mean of its divisors is an integer number (85315776).

Almost surely, 23820556565 is an apocalyptic number.

3820556565 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3820556565 is an abundant number, since it is smaller than the sum of its proper divisors (4369757931).

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

3820556565 is a wasteful number, since it uses less digits than its factorization.

3820556565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19581 (or 19569 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 3820556565 is about 61810.6509025750. The cubic root of 3820556565 is about 1563.2995804344.

The spelling of 3820556565 in words is "three billion, eight hundred twenty million, five hundred fifty-six thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 81 105 115 135 161 189 207 243 315 345 405 483 567 621 805 945 1035 1215 1449 1701 1863 2415 2835 3105 4347 5589 7245 8505 9315 13041 19531 21735 27945 39123 58593 65205 97655 136717 175779 195615 292965 410151 449213 527337 683585 878895 1230453 1347639 1582011 2050755 2246065 2636685 3144491 3691359 4042917 4746033 6152265 6738195 7910055 9433473 11074077 12128751 15722455 18456795 20214585 23730165 28300419 33222231 36386253 47167365 55370385 60643755 84901257 109158759 141502095 166111155 181931265 254703771 424506285 545793795 764111313 1273518855 3820556565