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44942560553484 = 2232113471621201767
BaseRepresentation
bin10100011100000000000010…
…10110110110101000001100
312220010110121022120221000200
422032000001112312220030
521342314331000202414
6235330154410053500
712315664355420526
oct1216000126665014
9186113538527020
1044942560553484
111335803a867280
12505a20471a290
131c100b0542b49
14b153354a2a16
1552e0d48c8109
hex28e0015b6a0c

44942560553484 has 144 divisors (see below), whose sum is σ = 124366960763136. Its totient is φ = 13571265398400.

The previous prime is 44942560553479. The next prime is 44942560553497. The reversal of 44942560553484 is 48435506524944.

44942560553484 is a `hidden beast` number, since 4 + 4 + 9 + 42 + 5 + 60 + 5 + 53 + 484 = 666.

44942560553484 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 222643969 + ... + 222845735.

It is an arithmetic number, because the mean of its divisors is an integer number (863659449744).

Almost surely, 244942560553484 is an apocalyptic number.

44942560553484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44942560553484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62183480381568).

44942560553484 is an abundant number, since it is smaller than the sum of its proper divisors (79424400209652).

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

44942560553484 is a wasteful number, since it uses less digits than its factorization.

44942560553484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203756 (or 203751 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 63.

The spelling of 44942560553484 in words is "forty-four trillion, nine hundred forty-two billion, five hundred sixty million, five hundred fifty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 347 396 694 1041 1388 1621 2082 3123 3242 3817 4164 4863 6246 6484 7634 9726 11451 12492 14589 15268 17831 19452 22902 29178 34353 35662 45804 53493 58356 68706 71324 106986 137412 160479 201767 213972 320958 403534 562487 605301 641916 807068 1124974 1210602 1687461 1815903 2219437 2249948 2421204 3374922 3631806 4438874 5062383 6187357 6658311 6749844 7263612 8877748 10124766 12374714 13316622 18562071 19974933 20249532 24749428 26633244 37124142 39949866 55686213 70013149 74248284 79899732 111372426 140026298 210039447 222744852 280052596 327064307 420078894 630118341 654128614 770144639 840157788 981192921 1260236682 1308257228 1540289278 1962385842 2310433917 2520473364 2943578763 3080578556 3597707377 3924771684 4620867834 5887157526 6931301751 7195414754 9241735668 10793122131 11774315052 13862603502 14390829508 21586244262 27725207004 32379366393 43172488524 64758732786 113491314529 129517465572 226982629058 340473943587 453965258116 680947887174 1021421830761 1248404459819 1361895774348 2042843661522 2496808919638 3745213379457 4085687323044 4993617839276 7490426758914 11235640138371 14980853517828 22471280276742 44942560553484