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450065056112064 = 26321823428613793
BaseRepresentation
bin110011001010101001110111…
…1110010111001110111000000
32012000112210120120222021212200
41212111103233302321313000
5432442331213331041224
64233113011002353200
7163541061436240611
oct14625235762716700
92160483516867780
10450065056112064
1112044a578004658
12425897587bb800
1316418c50074ba3
147d1d39d011c08
15370735932d5c9
hex19954efcb9dc0

450065056112064 has 84 divisors (see below), whose sum is σ = 1290737865982656. Its totient is φ = 149939391172608.

The previous prime is 450065056112039. The next prime is 450065056112101. The reversal of 450065056112064 is 460211650560054.

450065056112064 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 6 + 5 + 0 + 5 + 611 + 20 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213256849 + ... + 215356944.

It is an arithmetic number, because the mean of its divisors is an integer number (15365926975984).

Almost surely, 2450065056112064 is an apocalyptic number.

It is an amenable number.

450065056112064 is an abundant number, since it is smaller than the sum of its proper divisors (840672809870592).

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

450065056112064 is a wasteful number, since it uses less digits than its factorization.

450065056112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428615634 (or 428615621 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 450065056112064 in words is "four hundred fifty trillion, sixty-five billion, fifty-six million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1823 3646 5469 7292 10938 14584 16407 21876 29168 32814 43752 58336 65628 87504 116672 131256 175008 262512 350016 525024 1050048 428613793 857227586 1285841379 1714455172 2571682758 3428910344 3857524137 5143365516 6857820688 7715048274 10286731032 13715641376 15430096548 20573462064 27431282752 30860193096 41146924128 61720386192 82293848256 123440772384 246881544768 781362944639 1562725889278 2344088833917 3125451778556 4688177667834 6250903557112 7032266501751 9376355335668 12501807114224 14064533003502 18752710671336 25003614228448 28129066007004 37505421342672 50007228456896 56258132014008 75010842685344 112516264028016 150021685370688 225032528056032 450065056112064