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45227085768 = 23327123532
BaseRepresentation
bin101010000111101111…
…101000111111001000
311022201221202000011200
4222013233220333020
51220111113221033
632435501224200
73160524612624
oct520757507710
9138657660150
1045227085768
11181a9568a37
128922562060
134359c8cb17
1422908a2184
15129a848013
hexa87be8fc8

45227085768 has 108 divisors (see below), whose sum is σ = 124592484705. Its totient is φ = 14821255680.

The previous prime is 45227085733. The next prime is 45227085769. The reversal of 45227085768 is 86758072254.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45227085768 is a `hidden beast` number, since 4 + 522 + 7 + 0 + 8 + 57 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44826205284 + 400880484 = 211722^2 + 20022^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=150378.

It is not an unprimeable number, because it can be changed into a prime (45227085769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128121880 + ... + 128122232.

Almost surely, 245227085768 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 45227085768

45227085768 is an abundant number, since it is smaller than the sum of its proper divisors (79365398937).

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

45227085768 is an equidigital number, since it uses as much as digits as its factorization.

45227085768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 45227085768 in words is "forty-five billion, two hundred twenty-seven million, eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 353 426 568 639 706 852 1059 1278 1412 1704 2118 2556 2824 3177 4236 5041 5112 6354 8472 10082 12708 15123 20164 25063 25416 30246 40328 45369 50126 60492 75189 90738 100252 120984 124609 150378 181476 200504 225567 249218 300756 362952 373827 451134 498436 601512 747654 902268 996872 1121481 1495308 1779473 1804536 2242962 2990616 3558946 4485924 5338419 7117892 8847239 8971848 10676838 14235784 16015257 17694478 21353676 26541717 32030514 35388956 42707352 53083434 64061028 70777912 79625151 106166868 128122056 159250302 212333736 318500604 628153969 637001208 1256307938 1884461907 2512615876 3768923814 5025231752 5653385721 7537847628 11306771442 15075695256 22613542884 45227085768