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20520553608 = 233444970529
BaseRepresentation
bin10011000111000111…
…101100110010001000
31221222010001010120000
4103013013230302020
5314011230203413
613232122403000
71324342553622
oct230707546210
957863033500
1020520553608
118780354715
123b88360460
131c204a8119
14dc94abc12
158017e4073
hex4c71ecc88

20520553608 has 80 divisors (see below), whose sum is σ = 57605377500. Its totient is φ = 6824853504.

The previous prime is 20520553601. The next prime is 20520553619. The reversal of 20520553608 is 80635502502.

It is a happy number.

20520553608 is a `hidden beast` number, since 20 + 5 + 20 + 5 + 5 + 3 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20379846564 + 140707044 = 142758^2 + 11862^2 .

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 (20520553601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 255688 + ... + 326216.

Almost surely, 220520553608 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 20520553608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28802688750).

20520553608 is an abundant number, since it is smaller than the sum of its proper divisors (37084823892).

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

20520553608 is a wasteful number, since it uses less digits than its factorization.

20520553608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70996 (or 70983 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 20520553608 in words is "twenty billion, five hundred twenty million, five hundred fifty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 449 648 898 1347 1796 2694 3592 4041 5388 8082 10776 12123 16164 24246 32328 36369 48492 70529 72738 96984 141058 145476 211587 282116 290952 423174 564232 634761 846348 1269522 1692696 1904283 2539044 3808566 5078088 5712849 7617132 11425698 15234264 22851396 31667521 45702792 63335042 95002563 126670084 190005126 253340168 285007689 380010252 570015378 760020504 855023067 1140030756 1710046134 2280061512 2565069201 3420092268 5130138402 6840184536 10260276804 20520553608