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45839308725 = 3352717233569
BaseRepresentation
bin101010101100001111…
…000101011110110101
311101022121202011012000
4222230033011132311
51222334330334400
633020331245513
73211640460330
oct525417053665
9141277664160
1045839308725
1118493105121
128a735a9899
134426a78022
14230bd0b617
1512d447c600
hexaac3c57b5

45839308725 has 144 divisors (see below), whose sum is σ = 102235420800. Its totient is φ = 19721871360.

The previous prime is 45839308709. The next prime is 45839308763. The reversal of 45839308725 is 52780393854.

45839308725 is a `hidden beast` number, since 4 + 583 + 9 + 30 + 8 + 7 + 25 = 666.

It is not a de Polignac number, because 45839308725 - 24 = 45839308709 is a prime.

It is a super-2 number, since 2×458393087252 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1348741 + ... + 1382309.

It is an arithmetic number, because the mean of its divisors is an integer number (709968200).

Almost surely, 245839308725 is an apocalyptic number.

45839308725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45839308725 is an abundant number, since it is smaller than the sum of its proper divisors (56396112075).

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

45839308725 is a wasteful number, since it uses less digits than its factorization.

45839308725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33629 (or 33601 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45839308725 in words is "forty-five billion, eight hundred thirty-nine million, three hundred eight thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 85 105 119 135 153 175 189 225 255 289 315 357 425 459 525 595 675 765 867 945 1071 1275 1445 1575 1785 2023 2295 2601 2975 3213 3825 4335 4725 5355 6069 7225 7803 8925 10115 11475 13005 16065 18207 21675 26775 30345 33569 39015 50575 54621 65025 80325 91035 100707 151725 167845 195075 234983 273105 302121 455175 503535 570673 704949 839225 906363 1174915 1365525 1510605 1712019 2114847 2517675 2853365 3524745 3994711 4531815 5136057 5874575 6344541 7553025 8560095 9701441 10574235 11984133 14266825 15408171 17623725 19973555 22659075 25680285 29104323 31722705 35952399 42800475 48507205 52871175 59920665 67910087 77040855 87312969 99867775 107857197 128401425 145521615 158613525 179761995 203730261 242536025 261938907 299603325 339550435 385204275 436564845 539285985 611190783 727608075 898809975 1018651305 1309694535 1697752175 1833572349 2182824225 2696429925 3055953915 5093256525 6548472675 9167861745 15279769575 45839308725