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27675465060 = 223511323317519
BaseRepresentation
bin11001110001100101…
…100001010101100100
32122102202021021220110
4121301211201111210
5423134404340220
620414113133020
71666552400025
oct316145412544
978382237813
1027675465060
1110812095581
12544455a170
1327c090c639
1414a7830c4c
15abea0cbe0
hex671961564

27675465060 has 96 divisors (see below), whose sum is σ = 78517071360. Its totient is φ = 7283003392.

The previous prime is 27675465053. The next prime is 27675465071. The reversal of 27675465060 is 6056457672.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570981 + ... + 1588499.

It is an arithmetic number, because the mean of its divisors is an integer number (817886160).

Almost surely, 227675465060 is an apocalyptic number.

27675465060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27675465060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39258535680).

27675465060 is an abundant number, since it is smaller than the sum of its proper divisors (50841606300).

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

27675465060 is a wasteful number, since it uses less digits than its factorization.

27675465060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17877 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 27675465060 in words is "twenty-seven billion, six hundred seventy-five million, four hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 233 339 452 466 565 678 699 932 1130 1165 1356 1398 1695 2260 2330 2796 3390 3495 4660 6780 6990 13980 17519 26329 35038 52557 52658 70076 78987 87595 105114 105316 131645 157974 175190 210228 262785 263290 315948 350380 394935 525570 526580 789870 1051140 1579740 1979647 3959294 4081927 5938941 7918588 8163854 9898235 11877882 12245781 16327708 19796470 20409635 23755764 24491562 29694705 39592940 40819270 48983124 59389410 61228905 81638540 118778820 122457810 244915620 461257751 922515502 1383773253 1845031004 2306288755 2767546506 4612577510 5535093012 6918866265 9225155020 13837732530 27675465060