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27550111392 = 2538131221
BaseRepresentation
bin11001101010000111…
…010101011010100000
32122010000101200000000
4121222013111122200
5422410312031032
620353434300000
71663501040316
oct315207253240
978100350000
1027550111392
1110758357501
12540a587600
1327a095c97b
141494d200b6
15ab39eae7c
hex66a1d56a0

27550111392 has 108 divisors (see below), whose sum is σ = 81355409226. Its totient is φ = 9183300480.

The previous prime is 27550111261. The next prime is 27550111403. The reversal of 27550111392 is 29311105572.

27550111392 is a `hidden beast` number, since 2 + 7 + 550 + 1 + 1 + 13 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16048835856 + 11501275536 = 126684^2 + 107244^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144342 + ... + 275562.

Almost surely, 227550111392 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 27550111392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40677704613).

27550111392 is an abundant number, since it is smaller than the sum of its proper divisors (53805297834).

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

27550111392 is an frugal number, since it uses more digits than its factorization.

27550111392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131255 (or 131226 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 27550111392 in words is "twenty-seven billion, five hundred fifty million, one hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 34992 52488 69984 104976 131221 209952 262442 393663 524884 787326 1049768 1180989 1574652 2099536 2361978 3149304 3542967 4199072 4723956 6298608 7085934 9447912 10628901 12597216 14171868 18895824 21257802 28343736 31886703 37791648 42515604 56687472 63773406 85031208 95660109 113374944 127546812 170062416 191320218 255093624 286980327 340124832 382640436 510187248 573960654 765280872 860940981 1020374496 1147921308 1530561744 1721881962 2295842616 3061123488 3443763924 4591685232 6887527848 9183370464 13775055696 27550111392