Search a number
-
+
27353484292064 = 257757161312773
BaseRepresentation
bin1100011100000101110101…
…01101101110111111100000
310120211222010100111001120012
412032002322231232333200
512041124413434321224
6134102003414504052
75522136561135230
oct616027255567740
9116758110431505
1027353484292064
118796602862947
123099356665028
131235565307658
146a7cb6995cc0
153267d844180e
hex18e0bab6efe0

27353484292064 has 48 divisors (see below), whose sum is σ = 61626641676768. Its totient is φ = 11707435740672.

The previous prime is 27353484292027. The next prime is 27353484292067. The reversal of 27353484292064 is 46029248435372.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27353484291994 and 27353484292012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27353484292067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80486819 + ... + 80825954.

It is an arithmetic number, because the mean of its divisors is an integer number (1283888368266).

Almost surely, 227353484292064 is an apocalyptic number.

It is an amenable number.

27353484292064 is an abundant number, since it is smaller than the sum of its proper divisors (34273157384704).

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

27353484292064 is a wasteful number, since it uses less digits than its factorization.

27353484292064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161313547 (or 161313539 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 59.

The spelling of 27353484292064 in words is "twenty-seven trillion, three hundred fifty-three billion, four hundred eighty-four million, two hundred ninety-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 757 1514 3028 5299 6056 10598 12112 21196 24224 42392 84784 169568 161312773 322625546 645251092 1129189411 1290502184 2258378822 2581004368 4516757644 5162008736 9033515288 18067030576 36134061152 122113769161 244227538322 488455076644 854796384127 976910153288 1709592768254 1953820306576 3419185536508 3907640613152 6838371073016 13676742146032 27353484292064