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427153079808 = 2932731320789
BaseRepresentation
bin1100011011101000100…
…11101011111000000000
31111211120000212202001100
412031310103223320000
523444302142023213
6524121552534400
742601152162000
oct6156423537000
91454500782040
10427153079808
11155177861124
126a950851400
1331384c58880
1416962492000
15b1a061a773
hex63744ebe00

427153079808 has 480 divisors, whose sum is σ = 1548322776000. Its totient is φ = 112650338304.

The previous prime is 427153079729. The next prime is 427153079809. The reversal of 427153079808 is 808970351724.

It is a happy number.

427153079808 is a `hidden beast` number, since 4 + 27 + 1 + 530 + 7 + 9 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427153079809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20536678 + ... + 20557466.

It is an arithmetic number, because the mean of its divisors is an integer number (3225672450).

Almost surely, 2427153079808 is an apocalyptic number.

427153079808 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 427153079808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774161388000).

427153079808 is an abundant number, since it is smaller than the sum of its proper divisors (1121169696192).

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

427153079808 is a wasteful number, since it uses less digits than its factorization.

427153079808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20847 (or 20814 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 427153079808 in words is "four hundred twenty-seven billion, one hundred fifty-three million, seventy-nine thousand, eight hundred eight".