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545358445632 = 26327113137817
BaseRepresentation
bin1111110111110011110…
…01010111110001000000
31221010122222010111021100
413323321321113301000
532413343230230012
61054311220054400
754254330205540
oct7737171276100
91833588114240
10545358445632
111a0315697000
128983b534400
133c5723b1310
141c57731b320
15e2bcc778dc
hex7ef9e57c40

545358445632 has 672 divisors, whose sum is σ = 2116419911424. Its totient is φ = 130738544640.

The previous prime is 545358445627. The next prime is 545358445657. The reversal of 545358445632 is 236544853545.

545358445632 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 584 + 4 + 56 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69761788 + ... + 69769604.

It is an arithmetic number, because the mean of its divisors is an integer number (3149434392).

Almost surely, 2545358445632 is an apocalyptic number.

545358445632 is a gapful number since it is divisible by the number (52) 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 545358445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058209955712).

545358445632 is an abundant number, since it is smaller than the sum of its proper divisors (1571061465792).

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

545358445632 is a wasteful number, since it uses less digits than its factorization.

545358445632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7853 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

The spelling of 545358445632 in words is "five hundred forty-five billion, three hundred fifty-eight million, four hundred forty-five thousand, six hundred thirty-two".