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45733785790 = 25711411798093
BaseRepresentation
bin101010100101111100…
…100011000010111110
311101001021012000221011
4222211330203002332
51222130322121130
633002041425434
73206216523310
oct524574430276
9141037160834
1045733785790
1118439591190
128a4419b27a
13440ac4c714
1422dbcbd7b0
1512ca08652a
hexaa5f230be

45733785790 has 128 divisors (see below), whose sum is σ = 105737425920. Its totient is φ = 13827609600.

The previous prime is 45733785767. The next prime is 45733785791. The reversal of 45733785790 is 9758733754.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45733785791) 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 63 ways as a sum of consecutive naturals, for example, 5646984 + ... + 5655076.

It is an arithmetic number, because the mean of its divisors is an integer number (826073640).

Almost surely, 245733785790 is an apocalyptic number.

45733785790 is an abundant number, since it is smaller than the sum of its proper divisors (60003640130).

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

45733785790 is a wasteful number, since it uses less digits than its factorization.

45733785790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338.

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 45733785790 in words is "forty-five billion, seven hundred thirty-three million, seven hundred eighty-five thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 41 55 70 77 82 110 154 179 205 287 358 385 410 451 574 770 895 902 1253 1435 1790 1969 2255 2506 2870 3157 3938 4510 6265 6314 7339 8093 9845 12530 13783 14678 15785 16186 19690 27566 31570 36695 40465 51373 56651 68915 73390 80729 80930 89023 102746 113302 137830 161458 178046 256865 283255 331813 403645 445115 513730 565103 566510 623161 663626 807290 890230 1130206 1246322 1448647 1659065 2322691 2825515 2897294 3115805 3318130 3649943 4645382 5651030 6231610 7243235 7299886 10140529 11613455 14486470 15935117 18249715 20281058 23226910 25549601 31870234 36499430 50702645 51099202 59394527 79675585 101405290 111545819 118789054 127748005 159351170 223091638 255496010 296972635 415761689 557729095 593945270 653339797 831523378 1115458190 1306679594 2078808445 3266698985 4157616890 4573378579 6533397970 9146757158 22866892895 45733785790