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45804215772 = 22337103588229
BaseRepresentation
bin101010101010001001…
…001101110111011100
311101020011201020201000
4222222021031313130
51222301334401042
633013035150300
73211033260450
oct525211156734
9141204636630
1045804215772
1118475316287
128a638a5390
13441c70bb73
1423073b4660
1512d134974c
hexaaa24dddc

45804215772 has 96 divisors (see below), whose sum is σ = 137034060800. Its totient is φ = 12959839296.

The previous prime is 45804215771. The next prime is 45804215783. The reversal of 45804215772 is 27751240854.

45804215772 is a `hidden beast` number, since 4 + 58 + 0 + 4 + 21 + 577 + 2 = 666.

It is a super-3 number, since 3×458042157723 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45804215771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216247 + ... + 371982.

Almost surely, 245804215772 is an apocalyptic number.

45804215772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45804215772 is an abundant number, since it is smaller than the sum of its proper divisors (91229845028).

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

45804215772 is a wasteful number, since it uses less digits than its factorization.

45804215772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588352 (or 588344 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 45804215772 in words is "forty-five billion, eight hundred four million, two hundred fifteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1854 2163 2781 2884 3708 4326 5562 6489 8652 11124 12978 19467 25956 38934 77868 588229 1176458 1764687 2352916 3529374 4117603 5294061 7058748 8235206 10588122 12352809 15882183 16470412 21176244 24705618 31764366 37058427 49411236 60587587 63528732 74116854 111175281 121175174 148233708 181762761 222350562 242350348 363525522 424113109 444701124 545288283 727051044 848226218 1090576566 1272339327 1635864849 1696452436 2181153132 2544678654 3271729698 3817017981 5089357308 6543459396 7634035962 11451053943 15268071924 22902107886 45804215772