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45473527008 = 253671331691
BaseRepresentation
bin101010010110011011…
…101111010011100000
311100101010110112000000
4222112123233103200
51221112210331013
632520143300000
73166606413330
oct522633572340
9140333415000
1045473527008
1118315690988
128990baa600
134399057740
1422b54d30c0
1512b22c7973
hexa966ef4e0

45473527008 has 672 divisors, whose sum is σ = 170779133952. Its totient is φ = 11589350400.

The previous prime is 45473526983. The next prime is 45473527019. The reversal of 45473527008 is 80072537454.

45473527008 is a `hidden beast` number, since 4 + 54 + 73 + 527 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 65807943 + ... + 65808633.

It is an arithmetic number, because the mean of its divisors is an integer number (254135616).

Almost surely, 245473527008 is an apocalyptic number.

45473527008 is a gapful number since it is divisible by the number (48) 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 45473527008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85389566976).

45473527008 is an abundant number, since it is smaller than the sum of its proper divisors (125305606944).

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

45473527008 is a wasteful number, since it uses less digits than its factorization.

45473527008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 45473527008 in words is "forty-five billion, four hundred seventy-three million, five hundred twenty-seven thousand, eight".