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27917287424 = 23113
BaseRepresentation
bin11010000000000000…
…000000000000000000
32200001121022010211022
4122000000000000000
5424133311144144
620454112205012
72005550012345
oct320000000000
980047263738
1027917287424
1110926643274
1254b1539768
13282ba4aab0
1414cb9bc7cc
15ad5d78cee
hex680000000

27917287424 has 64 divisors (see below), whose sum is σ = 60129542130. Its totient is φ = 12884901888.

The previous prime is 27917287421. The next prime is 27917287483. The reversal of 27917287424 is 42478271972.

It can be written as a sum of positive squares in only one way, i.e., 26843545600 + 1073741824 = 163840^2 + 32768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×279172874242 (a number of 22 digits) contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (27917287421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2147483642 + ... + 2147483654.

Almost surely, 227917287424 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 27917287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30064771065).

27917287424 is an abundant number, since it is smaller than the sum of its proper divisors (32212254706).

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

27917287424 is an frugal number, since it uses more digits than its factorization.

27917287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 15 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 53.

The spelling of 27917287424 in words is "twenty-seven billion, nine hundred seventeen million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 65536 106496 131072 212992 262144 425984 524288 851968 1048576 1703936 2097152 3407872 4194304 6815744 8388608 13631488 16777216 27262976 33554432 54525952 67108864 109051904 134217728 218103808 268435456 436207616 536870912 872415232 1073741824 1744830464 2147483648 3489660928 6979321856 13958643712 27917287424