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27148594088 = 23711232417951
BaseRepresentation
bin11001010010001011…
…101010101110101000
32121002000212110210202
4121102023222232220
5421100020002323
620245532331332
71650524146040
oct312213525650
977060773722
1027148594088
1110571745620
125318013b48
132738709875
141457882720
15a8d637d28
hex6522eaba8

27148594088 has 128 divisors (see below), whose sum is σ = 66506711040. Its totient is φ = 10074240000.

The previous prime is 27148594063. The next prime is 27148594103. The reversal of 27148594088 is 88049584172.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3410513 + ... + 3418463.

It is an arithmetic number, because the mean of its divisors is an integer number (519583680).

Almost surely, 227148594088 is an apocalyptic number.

27148594088 is a gapful number since it is divisible by the number (28) 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 27148594088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33253355520).

27148594088 is an abundant number, since it is smaller than the sum of its proper divisors (39358116952).

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

27148594088 is a wasteful number, since it uses less digits than its factorization.

27148594088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 56.

The spelling of 27148594088 in words is "twenty-seven billion, one hundred forty-eight million, five hundred ninety-four thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 241 253 308 322 482 506 616 644 964 1012 1288 1687 1771 1928 2024 2651 3374 3542 5302 5543 6748 7084 7951 10604 11086 13496 14168 15902 18557 21208 22172 31804 37114 38801 44344 55657 60973 63608 74228 77602 87461 111314 121946 148456 155204 174922 182873 222628 243892 310408 349844 365746 426811 445256 487784 612227 699688 731492 853622 1224454 1280111 1462984 1707244 1916191 2011603 2448908 2560222 3414488 3832382 4023206 4897816 5120444 7664764 8046412 10240888 13413337 14081221 15329528 16092824 21078101 26826674 28162442 42156202 44072393 53653348 56324884 84312404 88144786 107306696 112649768 147546707 168624808 176289572 295093414 308506751 352579144 484796323 590186828 617013502 969592646 1180373656 1234027004 1939185292 2468054008 3393574261 3878370584 6787148522 13574297044 27148594088