Search a number
-
+
85774057344 = 273274456647
BaseRepresentation
bin100111111100010001…
…0000011111110000000
322012101202000120121200
41033320202003332000
52401131124313334
6103223135421200
76124363313013
oct1177042037600
9265352016550
1085774057344
11334162458a8
1214759684800
13811c4622b1
14421997137a
152370375799
hex13f8883f80

85774057344 has 48 divisors (see below), whose sum is σ = 246823788120. Its totient is φ = 28591352064.

The previous prime is 85774057333. The next prime is 85774057361. The reversal of 85774057344 is 44375047758.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37227172 + ... + 37229475.

Almost surely, 285774057344 is an apocalyptic number.

It is an amenable number.

85774057344 is an abundant number, since it is smaller than the sum of its proper divisors (161049730776).

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

85774057344 is a wasteful number, since it uses less digits than its factorization.

85774057344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74456667 (or 74456652 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 85774057344 in words is "eighty-five billion, seven hundred seventy-four million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 74456647 148913294 223369941 297826588 446739882 595653176 670109823 893479764 1191306352 1340219646 1786959528 2382612704 2680439292 3573919056 4765225408 5360878584 7147838112 9530450816 10721757168 14295676224 21443514336 28591352448 42887028672 85774057344