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27444541056 = 2731731135617
BaseRepresentation
bin11001100011110100…
…100111011010000000
32121211122202010201120
4121203310213122000
5422201300303211
620335143432240
71661046515142
oct314364473200
977748663646
1027444541056
1110703800999
12539b155680
132784b1890a
141484cbcc92
15aa95e5d06
hex663d27680

27444541056 has 128 divisors (see below), whose sum is σ = 79678287360. Its totient is φ = 8332247040.

The previous prime is 27444541031. The next prime is 27444541057. The reversal of 27444541056 is 65014544472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 27444540999 and 27444541017.

It is not an unprimeable number, because it can be changed into a prime (27444541057) 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, 134560 + ... + 270176.

It is an arithmetic number, because the mean of its divisors is an integer number (622486620).

Almost surely, 227444541056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27444541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39839143680).

27444541056 is an abundant number, since it is smaller than the sum of its proper divisors (52233746304).

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

27444541056 is a wasteful number, since it uses less digits than its factorization.

27444541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135682 (or 135670 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 27444541056 in words is "twenty-seven billion, four hundred forty-four million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 272 372 384 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2176 2976 3162 3264 3968 4216 5952 6324 6528 8432 11904 12648 16864 25296 33728 50592 67456 101184 135617 202368 271234 406851 542468 813702 1084936 1627404 2169872 2305489 3254808 4204127 4339744 4610978 6509616 6916467 8408254 8679488 9221956 12612381 13019232 13832934 16816508 17358976 18443912 25224762 26038464 27665868 33633016 36887824 50449524 52076928 55331736 67266032 71470159 73775648 100899048 110663472 134532064 142940318 147551296 201798096 214410477 221326944 269064128 285880636 295102592 403596192 428820954 442653888 538128256 571761272 807192384 857641908 885307776 1143522544 1614384768 1715283816 2287045088 3430567632 4574090176 6861135264 9148180352 13722270528 27444541056