Search a number
-
+
27128891216 = 2475325717783
BaseRepresentation
bin11001010001000000…
…100000011101010000
32121000122210110112202
4121101000200131100
5421024444004331
620243550142332
71650164525210
oct312100403520
977018713482
1027128891216
1110561608559
1253114b19a8
1327345cb76b
141454dd4240
15a8ba44ecb
hex651020750

27128891216 has 80 divisors (see below), whose sum is σ = 61446138624. Its totient is φ = 11362271232.

The previous prime is 27128891191. The next prime is 27128891219. The reversal of 27128891216 is 61219882172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27128891219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516661 + ... + 1534443.

Almost surely, 227128891216 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 27128891216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723069312).

27128891216 is an abundant number, since it is smaller than the sum of its proper divisors (34317247408).

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

27128891216 is a wasteful number, since it uses less digits than its factorization.

27128891216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18108 (or 18102 counting only the distinct ones).

The product of its digits is 193536, while the sum is 47.

The spelling of 27128891216 in words is "twenty-seven billion, one hundred twenty-eight million, eight hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 257 371 424 514 742 848 1028 1484 1799 2056 2968 3598 4112 5936 7196 13621 14392 17783 27242 28784 35566 54484 71132 95347 108968 124481 142264 190694 217936 248962 284528 381388 497924 762776 942499 995848 1525552 1884998 1991696 3769996 4570231 6597493 7539992 9140462 13194986 15079984 18280924 26389972 31991617 36561848 52779944 63983234 73123696 105559888 127966468 242222243 255932936 484444486 511865872 968888972 1695555701 1937777944 3391111402 3875555888 6782222804 13564445608 27128891216