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20123147520 = 283457217233
BaseRepresentation
bin10010101111011011…
…101101110100000000
31220221102020210220000
4102233123231310000
5312203011210040
613124444520000
71311445634400
oct225733556400
956842223800
1020123147520
118596aa0633
123a97250000
131b890643a8
14d8c7c0800
157cb994130
hex4af6edd00

20123147520 has 1080 divisors, whose sum is σ = 89067802824. Its totient is φ = 4310433792.

The previous prime is 20123147507. The next prime is 20123147581. The reversal of 20123147520 is 2574132102.

20123147520 is a `hidden beast` number, since 2 + 0 + 123 + 14 + 7 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1878702336 + 18244445184 = 43344^2 + 135072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×201231475202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86365324 + ... + 86365556.

Almost surely, 220123147520 is an apocalyptic number.

20123147520 is a gapful number since it is divisible by the number (20) 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 20123147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44533901412).

20123147520 is an abundant number, since it is smaller than the sum of its proper divisors (68944655304).

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

20123147520 is a wasteful number, since it uses less digits than its factorization.

20123147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 20123147520 its reverse (2574132102), we get a palindrome (22697279622).

The spelling of 20123147520 in words is "twenty billion, one hundred twenty-three million, one hundred forty-seven thousand, five hundred twenty".