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27555380104 = 2372172243233
BaseRepresentation
bin11001101010011011…
…011011101110001000
32122010101022100022111
4121222123123232020
5422413134130404
620354143232104
71663563603100
oct315233335610
978111270274
1027555380104
1110760325a0a
1254102a8634
1327a1a85b55
1414958d2200
15ab41dc104
hex66a6dbb88

27555380104 has 72 divisors (see below), whose sum is σ = 63845276490. Its totient is φ = 11114729472.

The previous prime is 27555380063. The next prime is 27555380107. The reversal of 27555380104 is 40108355572.

It can be written as a sum of positive squares in 3 ways, for example, as 27555336004 + 44100 = 165998^2 + 210^2 .

It is not an unprimeable number, because it can be changed into a prime (27555380107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8329 + ... + 234904.

Almost surely, 227555380104 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 27555380104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31922638245).

27555380104 is an abundant number, since it is smaller than the sum of its proper divisors (36289896386).

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

27555380104 is a wasteful number, since it uses less digits than its factorization.

27555380104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243287 (or 243259 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 27555380104 in words is "twenty-seven billion, five hundred fifty-five million, three hundred eighty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 289 392 476 578 833 952 1156 1666 2023 2312 3332 4046 6664 8092 14161 16184 28322 56644 113288 243233 486466 972932 1702631 1945864 3405262 4134961 6810524 8269922 11918417 13621048 16539844 23836834 28944727 33079688 47673668 57889454 70294337 95347336 115778908 140588674 202613089 231557816 281177348 405226178 492060359 562354696 810452356 984120718 1620904712 1968241436 3444422513 3936482872 6888845026 13777690052 27555380104