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645534435546 = 2337211131706057
BaseRepresentation
bin10010110010011001101…
…10011100100011011010
32021201020101221001022000
421121030312130203122
541034023303414141
61212315431141430
764431642111300
oct11311466344332
92251211831260
10645534435546
112298513a5a10
12a5138214876
1348b484bc5b0
142335b8b0270
1511bd26775b6
hex964cd9c8da

645534435546 has 192 divisors, whose sum is σ = 1960465368960. Its totient is φ = 154773400320.

The previous prime is 645534435527. The next prime is 645534435563.

645534435546 is a `hidden beast` number, since 6 + 4 + 5 + 53 + 4 + 43 + 5 + 546 = 666.

645534435546 is nontrivially palindromic in base 10.

645534435546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 645534435492 and 645534435501.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474651 + ... + 1231406.

It is an arithmetic number, because the mean of its divisors is an integer number (10210757130).

Almost surely, 2645534435546 is an apocalyptic number.

645534435546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

645534435546 is an abundant number, since it is smaller than the sum of its proper divisors (1314930933414).

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

645534435546 is a wasteful number, since it uses less digits than its factorization.

645534435546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706106 (or 1706093 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 645534435546 in words is "six hundred forty-five billion, five hundred thirty-four million, four hundred thirty-five thousand, five hundred forty-six".