Search a number
-
+
565520054272360 = 2351116334922593437
BaseRepresentation
bin1000000010010101100110010…
…1111100101100000101101000
32202011100012002220221120222121
42000211121211330230011220
51043110440032343203420
65322432154300401024
7230055322064302405
oct20045314574540550
92664305086846877
10565520054272360
11154212787617540
12535156a9b46174
131b37240a151a45
149d91460d312ac
15455a71b1e22aa
hex2025665f2c168

565520054272360 has 128 divisors (see below), whose sum is σ = 1400612408496000. Its totient is φ = 203796407669760.

The previous prime is 565520054272333. The next prime is 565520054272363. The reversal of 565520054272360 is 63272450025565.

It is a junction number, because it is equal to n+sod(n) for n = 565520054272298 and 565520054272307.

It is not an unprimeable number, because it can be changed into a prime (565520054272363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13733562 + ... + 36326998.

It is an arithmetic number, because the mean of its divisors is an integer number (10942284441375).

Almost surely, 2565520054272360 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 565520054272360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700306204248000).

565520054272360 is an abundant number, since it is smaller than the sum of its proper divisors (835092354223640).

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

565520054272360 is a wasteful number, since it uses less digits than its factorization.

565520054272360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22593971 (or 22593967 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 52.

The spelling of 565520054272360 in words is "five hundred sixty-five trillion, five hundred twenty billion, fifty-four million, two hundred seventy-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 349 440 652 698 815 1304 1396 1630 1745 1793 2792 3260 3490 3586 3839 6520 6980 7172 7678 8965 13960 14344 15356 17930 19195 30712 35860 38390 56887 71720 76780 113774 153560 227548 284435 455096 568870 625757 1137740 1251514 2275480 2503028 3128785 5006056 6257570 12515140 22593437 25030280 45186874 90373748 112967185 180747496 225934370 248527807 451868740 497055614 903737480 994111228 1242639035 1988222456 2485278070 3682730231 4970556140 7365460462 7885109513 9941112280 14730920924 15770219026 18413651155 29461841848 31540438052 36827302310 39425547565 40510032541 63080876104 73654604620 78851095130 81020065082 86736204643 147309209240 157702190260 162040130164 173472409286 202550162705 315404380520 324080260328 346944818572 405100325410 433681023215 693889637144 810200650820 867362046430 1285272850619 1620401301640 1734724092860 2570545701238 3469448185720 5141091402476 6426364253095 10282182804952 12852728506190 14138001356809 25705457012380 28276002713618 51410914024760 56552005427236 70690006784045 113104010854472 141380013568090 282760027136180 565520054272360