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27380527328 = 2572115932677
BaseRepresentation
bin11001100000000000…
…011011000011100000
32121200012021220101202
4121200000123003200
5422033403333303
620324535420332
71656341433200
oct314000330340
977605256352
1027380527328
1110680659490
1253818246a8
132774794a7b
14147a5b8400
15aa3b9dc88
hex66001b0e0

27380527328 has 144 divisors (see below), whose sum is σ = 68547823344. Its totient is φ = 10645770240.

The previous prime is 27380527309. The next prime is 27380527333. The reversal of 27380527328 is 82372508372.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10226726 + ... + 10229402.

It is an arithmetic number, because the mean of its divisors is an integer number (476026551).

Almost surely, 227380527328 is an apocalyptic number.

27380527328 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 27380527328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34273911672).

27380527328 is an abundant number, since it is smaller than the sum of its proper divisors (41167296016).

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

27380527328 is a wasteful number, since it uses less digits than its factorization.

27380527328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 27380527328 in words is "twenty-seven billion, three hundred eighty million, five hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 593 616 784 1078 1186 1232 1568 2156 2372 2464 2677 4151 4312 4744 5354 6523 8302 8624 9488 10708 13046 16604 17248 18739 18976 21416 26092 29057 29447 33208 37478 42832 45661 52184 58114 58894 66416 74956 85664 91322 104368 116228 117788 131173 132832 149912 182644 206129 208736 232456 235576 262346 299824 319627 365288 412258 464912 471152 524692 599648 639254 730576 824516 929824 942304 1049384 1278508 1442903 1461152 1587461 1649032 2098768 2557016 2885806 3174922 3298064 4197536 5114032 5771612 6349844 6596128 10228064 11112227 11543224 12699688 17462071 22224454 23086448 25399376 34924142 44448908 46172896 50798752 69848284 77785589 88897816 122234497 139696568 155571178 177795632 244468994 279393136 311142356 355591264 488937988 558786272 622284712 855641479 977875976 1244569424 1711282958 1955751952 2489138848 3422565916 3911503904 6845131832 13690263664 27380527328