Search a number
-
+
27555305053050 = 23252411493512469
BaseRepresentation
bin1100100001111101110000…
…01010110101101101111010
310121120021001120211222120200
412100332320022311231322
512102431231043144200
6134334422110103030
75542543101245265
oct620767012655572
9117507046758520
1027555305053050
118864159378795
12311049baaaa76
13124b5b9905498
146b39807d5cdc
1532bb9b670800
hex190fb82b5b7a

27555305053050 has 72 divisors (see below), whose sum is σ = 75837576201660. Its totient is φ = 7168859846400.

The previous prime is 27555305053037. The next prime is 27555305053057. The reversal of 27555305053050 is 5035050355572.

It can be written as a sum of positive squares in 6 ways, for example, as 18975338001 + 27536329715049 = 137751^2 + 5247507^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 27555305052987 and 27555305053005.

It is not an unprimeable number, because it can be changed into a prime (27555305053057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 746737785 + ... + 746774684.

Almost surely, 227555305053050 is an apocalyptic number.

27555305053050 is an abundant number, since it is smaller than the sum of its proper divisors (48282271148610).

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

27555305053050 is a wasteful number, since it uses less digits than its factorization.

27555305053050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493512528 (or 1493512520 counting only the distinct ones).

The product of its (nonzero) digits is 1968750, while the sum is 45.

The spelling of 27555305053050 in words is "twenty-seven trillion, five hundred fifty-five billion, three hundred five million, fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 9225 18450 1493512469 2987024938 4480537407 7467562345 8961074814 13441612221 14935124690 22402687035 26883224442 37337811725 44805374070 61234011229 67208061105 74675623450 112013435175 122468022458 134416122210 183702033687 224026870350 306170056145 336040305525 367404067374 551106101061 612340112290 672080611050 918510168435 1102212202122 1530850280725 1837020336870 2755530505305 3061700561450 4592550842175 5511061010610 9185101684350 13777652526525 27555305053050