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27444727968 = 253753770573
BaseRepresentation
bin11001100011110101…
…010101000010100000
32121211200002122010020
4121203311111002200
5422201322243333
620335151433440
71661051224110
oct314365250240
977750078106
1027444727968
1110703919369
12539b225880
132784b82a08
141484d2b040
15aa96313b3
hex663d550a0

27444727968 has 96 divisors (see below), whose sum is σ = 83887767936. Its totient is φ = 7693390848.

The previous prime is 27444727963. The next prime is 27444727997. The reversal of 27444727968 is 86972744472.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27444727963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349671 + ... + 420902.

It is an arithmetic number, because the mean of its divisors is an integer number (873830916).

Almost surely, 227444727968 is an apocalyptic number.

27444727968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27444727968 is an abundant number, since it is smaller than the sum of its proper divisors (56443039968).

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

27444727968 is a wasteful number, since it uses less digits than its factorization.

27444727968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770646 (or 770638 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 60.

The spelling of 27444727968 in words is "twenty-seven billion, four hundred forty-four million, seven hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 770573 1541146 2311719 3082292 4623438 5394011 6164584 9246876 10788022 12329168 16182033 18493752 21576044 24658336 32364066 36987504 40840369 43152088 64728132 73975008 81680738 86304176 122521107 129456264 163361476 172608352 245042214 258912528 285882583 326722952 490084428 517825056 571765166 653445904 857647749 980168856 1143530332 1306891808 1715295498 1960337712 2287060664 3430590996 3920675424 4574121328 6861181992 9148242656 13722363984 27444727968