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27103395264 = 2631117971693
BaseRepresentation
bin11001001111011111…
…001111110111000000
32120221212211010200020
4121033133033313000
5421001432122024
620241235453440
71646435026041
oct311737176700
976855733606
1027103395264
1110549184020
125304a57280
13272c2428ba
1414518788c8
15a896aa979
hex64f7cfdc0

27103395264 has 112 divisors (see below), whose sum is σ = 78668392320. Its totient is φ = 8167152640.

The previous prime is 27103395233. The next prime is 27103395269. The reversal of 27103395264 is 46259330172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27103395269) 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, 342202 + ... + 413894.

It is an arithmetic number, because the mean of its divisors is an integer number (702396360).

Almost surely, 227103395264 is an apocalyptic number.

27103395264 is a gapful number since it is divisible by the number (24) 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 27103395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39334196160).

27103395264 is an abundant number, since it is smaller than the sum of its proper divisors (51564997056).

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

27103395264 is a wasteful number, since it uses less digits than its factorization.

27103395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71898 (or 71888 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 27103395264 in words is "twenty-seven billion, one hundred three million, three hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 179 192 264 352 358 528 537 704 716 1056 1074 1432 1969 2112 2148 2864 3938 4296 5728 5907 7876 8592 11456 11814 15752 17184 23628 31504 34368 47256 63008 71693 94512 126016 143386 189024 215079 286772 378048 430158 573544 788623 860316 1147088 1577246 1720632 2294176 2365869 3154492 3441264 4588352 4731738 6308984 6882528 9463476 12617968 12833047 13765056 18926952 25235936 25666094 37853904 38499141 50471872 51332188 75707808 76998282 102664376 141163517 151415616 153996564 205328752 282327034 307993128 410657504 423490551 564654068 615986256 821315008 846981102 1129308136 1231972512 1693962204 2258616272 2463945024 3387924408 4517232544 6775848816 9034465088 13551697632 27103395264