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45760023225 = 3352721972817
BaseRepresentation
bin101010100111100000…
…101000101010111001
311101010002120000221000
4222213200220222321
51222204031220400
633004420035213
73206655531300
oct524740505271
9141102500830
1045760023225
1118452381814
128a50b32b09
134413507c27
14230158d437
1512cc51a600
hexaa7828ab9

45760023225 has 144 divisors (see below), whose sum is σ = 102935524800. Its totient is φ = 19817602560.

The previous prime is 45760023217. The next prime is 45760023247. The reversal of 45760023225 is 52232006754.

45760023225 is a `hidden beast` number, since 4 + 5 + 7 + 600 + 23 + 2 + 25 = 666.

It is not a de Polignac number, because 45760023225 - 23 = 45760023217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45760023225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 592017 + ... + 664833.

Almost surely, 245760023225 is an apocalyptic number.

45760023225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45760023225 is an abundant number, since it is smaller than the sum of its proper divisors (57175501575).

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

45760023225 is a wasteful number, since it uses less digits than its factorization.

45760023225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72869 (or 72851 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 45760023225 its reverse (52232006754), we get a palindrome (97992029979).

The spelling of 45760023225 in words is "forty-five billion, seven hundred sixty million, twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 49 57 63 75 95 105 133 135 147 171 175 189 225 245 285 315 399 441 475 513 525 665 675 735 855 931 945 1197 1225 1323 1425 1575 1995 2205 2565 2793 3325 3591 3675 4275 4655 4725 5985 6615 8379 9975 11025 12825 13965 17955 23275 25137 29925 33075 41895 69825 72817 89775 125685 209475 218451 364085 509719 628425 655353 1092255 1383523 1529157 1820425 1966059 2548595 3276765 3568033 4150569 4587471 5461275 6917615 7645785 9684661 9830295 10704099 12451707 12742975 13762413 16383825 17840165 20752845 22937355 29053983 32112297 34588075 37355121 38228925 48423305 49151475 53520495 62258535 67792627 68812065 87161949 89200825 96336891 103764225 114686775 145269915 160561485 186775605 203377881 242116525 261485847 267602475 311292675 338963135 344060325 435809745 481684455 610133643 726349575 802807425 933878025 1016889405 1307429235 1694815675 1830400929 2179048725 2408422275 3050668215 5084447025 6537146175 9152004645 15253341075 45760023225