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28288590380577 = 3323293150671063
BaseRepresentation
bin1100110111010011100110…
…11000010111111000100001
310201011100210111120012211000
412123221303120113320201
512201440013114134302
6140055333215342213
75646532432553112
oct633516330277041
9121140714505730
1028288590380577
11901713a87362a
12320a627821969
1312a27aac802a7
146db2645c2209
15340cb79a731c
hex19ba73617e21

28288590380577 has 64 divisors (see below), whose sum is σ = 46698452582400. Its totient is φ = 16855222063680.

The previous prime is 28288590380563. The next prime is 28288590380579. The reversal of 28288590380577 is 77508309588282.

28288590380577 is a `hidden beast` number, since 2 + 8 + 28 + 8 + 590 + 3 + 8 + 0 + 5 + 7 + 7 = 666.

It is not a de Polignac number, because 28288590380577 - 28 = 28288590380321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28288590380579) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24777253 + ... + 25893810.

It is an arithmetic number, because the mean of its divisors is an integer number (729663321600).

Almost surely, 228288590380577 is an apocalyptic number.

28288590380577 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

28288590380577 is a deficient number, since it is larger than the sum of its proper divisors (18409862201823).

28288590380577 is a wasteful number, since it uses less digits than its factorization.

28288590380577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50671155 (or 50671149 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 28288590380577 in words is "twenty-eight trillion, two hundred eighty-eight billion, five hundred ninety million, three hundred eighty thousand, five hundred seventy-seven".

Divisors: 1 3 9 23 27 29 31 69 87 93 207 261 279 621 667 713 783 837 899 2001 2139 2697 6003 6417 8091 18009 19251 20677 24273 62031 186093 558279 50671063 152013189 456039567 1165434449 1368118701 1469460827 1570802953 3496303347 4408382481 4712408859 10488910041 13225147443 14137226577 31466730123 33797599021 36128467919 39675442329 42411679731 45553285637 101392797063 108385403757 136659856911 304178391189 325156211271 409979570733 912535173567 975468633813 1047725569651 1229938712199 3143176708953 9429530126859 28288590380577