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20144283552 = 25331737101367
BaseRepresentation
bin10010110000101100…
…010101111110100000
31220222220000122002000
4102300230111332200
5312223414033202
613130521524000
71312123404441
oct226054257640
956886018060
1020144283552
1185a7a17428
123aa2343600
131b90554913
14d915232c8
157cd76b91c
hex4b0b15fa0

20144283552 has 384 divisors, whose sum is σ = 64700052480. Its totient is φ = 6071500800.

The previous prime is 20144283539. The next prime is 20144283557. The reversal of 20144283552 is 25538244102.

20144283552 is a `hidden beast` number, since 20 + 1 + 4 + 4 + 2 + 83 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20144283557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54888873 + ... + 54889239.

It is an arithmetic number, because the mean of its divisors is an integer number (168489720).

Almost surely, 220144283552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144283552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32350026240).

20144283552 is an abundant number, since it is smaller than the sum of its proper divisors (44555768928).

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

20144283552 is a wasteful number, since it uses less digits than its factorization.

20144283552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 20144283552 in words is "twenty billion, one hundred forty-four million, two hundred eighty-three thousand, five hundred fifty-two".