Search a number
-
+
27530505325008 = 2432727312009251
BaseRepresentation
bin1100100001001111100011…
…11111011000100111010000
310121110220001020210021020200
412100213301333120213100
512102024433330400013
6134315201201535200
75541004405113210
oct620476177304720
9117426036707220
1027530505325008
11885469259aa84
12310771a644500
131249166a1ccaa
146b26aaca2240
1532b1e935ce73
hex1909f1fd89d0

27530505325008 has 60 divisors (see below), whose sum is σ = 88053917828448. Its totient is φ = 7865858664000.

The previous prime is 27530505324989. The next prime is 27530505325151. The reversal of 27530505325008 is 80052350503572.

It is a happy number.

27530505325008 is a `hidden beast` number, since 275 + 3 + 0 + 50 + 5 + 325 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13656003618 + ... + 13656005633.

Almost surely, 227530505325008 is an apocalyptic number.

27530505325008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27530505325008 is an abundant number, since it is smaller than the sum of its proper divisors (60523412503440).

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

27530505325008 is a wasteful number, since it uses less digits than its factorization.

27530505325008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27312009272 (or 27312009263 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 27530505325008 in words is "twenty-seven trillion, five hundred thirty billion, five hundred five million, three hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 27312009251 54624018502 81936027753 109248037004 163872055506 191184064757 218496074008 245808083259 327744111012 382368129514 436992148016 491616166518 573552194271 655488222024 764736259028 983232333036 1147104388542 1310976444048 1529472518056 1720656582813 1966464666072 2294208777084 3058945036112 3441313165626 3932929332144 4588417554168 6882626331252 9176835108336 13765252662504 27530505325008