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27114475740 = 223511105139089
BaseRepresentation
bin11001010000001001…
…100001000011011100
32120222122200002020020
4121100021201003130
5421012301210430
620242313152140
71646631145452
oct312011410334
976878602206
1027114475740
1110554461a40
1253086bb650
1327316221b1
1414531209d2
15a8a648b10
hex6502610dc

27114475740 has 96 divisors (see below), whose sum is σ = 82903322880. Its totient is φ = 6566784000.

The previous prime is 27114475649. The next prime is 27114475741. The reversal of 27114475740 is 4757441172.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27114475692 and 27114475701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27114475741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674116 + ... + 713204.

It is an arithmetic number, because the mean of its divisors is an integer number (863576280).

Almost surely, 227114475740 is an apocalyptic number.

27114475740 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 27114475740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41451661440).

27114475740 is an abundant number, since it is smaller than the sum of its proper divisors (55788847140).

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

27114475740 is a wasteful number, since it uses less digits than its factorization.

27114475740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40163 (or 40161 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 27114475740 in words is "twenty-seven billion, one hundred fourteen million, four hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1051 2102 3153 4204 5255 6306 10510 11561 12612 15765 21020 23122 31530 34683 39089 46244 57805 63060 69366 78178 115610 117267 138732 156356 173415 195445 231220 234534 346830 390890 429979 469068 586335 693660 781780 859958 1172670 1289937 1719916 2149895 2345340 2579874 4299790 5159748 6449685 8599580 12899370 25798740 41082539 82165078 123247617 164330156 205412695 246495234 410825390 451907929 492990468 616238085 821650780 903815858 1232476170 1355723787 1807631716 2259539645 2464952340 2711447574 4519079290 5422895148 6778618935 9038158580 13557237870 27114475740