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450456654054 = 231149113900409
BaseRepresentation
bin1101000111000010100…
…11110001000011100110
31121001201002122222012210
412203201103301003212
524340013400412204
6542534213224250
744354510245461
oct6434123610346
91531632588183
10450456654054
111640460463a0
1273375032086
1333629b97664
1417b334042d8
15bab63e3389
hex68e14f10e6

450456654054 has 32 divisors (see below), whose sum is σ = 984816247680. Its totient is φ = 136223998400.

The previous prime is 450456653981. The next prime is 450456654061.

It is a happy number.

450456654054 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4504566540542 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450456653994 and 450456654012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6917799 + ... + 6982610.

It is an arithmetic number, because the mean of its divisors is an integer number (30775507740).

Almost surely, 2450456654054 is an apocalyptic number.

450456654054 is an abundant number, since it is smaller than the sum of its proper divisors (534359593626).

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

450456654054 is a wasteful number, since it uses less digits than its factorization.

450456654054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900916.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 450456654054 in words is "four hundred fifty billion, four hundred fifty-six million, six hundred fifty-four thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 491 982 1473 2946 5401 10802 16203 32406 13900409 27800818 41701227 83402454 152904499 305808998 458713497 917426994 6825100819 13650201638 20475302457 40950604914 75076109009 150152218018 225228327027 450456654054