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2528118945 = 345112232243
BaseRepresentation
bin1001011010110000…
…0000100010100001
320112012002202020000
42112230000202201
520134144301240
61054510210213
7116435441112
oct22654004241
96465082200
102528118945
11108806a200
125a67b3969
133139c6191
1419da90209
15ebe32430
hex96b008a1

2528118945 has 120 divisors (see below), whose sum is σ = 5200227648. Its totient is φ = 1171938240.

The previous prime is 2528118941. The next prime is 2528118947. The reversal of 2528118945 is 5498118252.

2528118945 is a `hidden beast` number, since 2 + 528 + 1 + 1 + 89 + 45 = 666.

It is not a de Polignac number, because 2528118945 - 22 = 2528118941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2528118945.

It is not an unprimeable number, because it can be changed into a prime (2528118941) 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 119 ways as a sum of consecutive naturals, for example, 1125994 + ... + 1128236.

Almost surely, 22528118945 is an apocalyptic number.

It is an amenable number.

2528118945 is an abundant number, since it is smaller than the sum of its proper divisors (2672108703).

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

2528118945 is a wasteful number, since it uses less digits than its factorization.

2528118945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2285 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 2528118945 is about 50280.4031905075. The cubic root of 2528118945 is about 1362.2782863991.

The spelling of 2528118945 in words is "two billion, five hundred twenty-eight million, one hundred eighteen thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 121 135 165 207 253 297 345 363 405 495 605 621 759 891 1035 1089 1265 1485 1815 1863 2243 2277 2783 3105 3267 3795 4455 5445 6729 6831 8349 9315 9801 11215 11385 13915 16335 20187 20493 24673 25047 33645 34155 41745 49005 51589 60561 74019 75141 100935 102465 123365 125235 154767 181683 222057 225423 257945 271403 302805 370095 375705 464301 567479 666171 773835 814209 908415 1110285 1127115 1357015 1392903 1702437 1998513 2321505 2442627 2837395 3330855 4071045 4178709 5107311 6242269 6964515 7327881 8512185 9992565 12213135 15321933 18726807 20893545 21983643 25536555 31211345 36639405 45965799 56180421 76609665 93634035 109918215 168541263 229828995 280902105 505623789 842706315 2528118945