Search a number
-
+
20601179712 = 26345397773
BaseRepresentation
bin10011001011111011…
…010000111001000000
31222011201202100210000
4103023323100321000
5314142400222322
613244122440000
71326342065301
oct231373207100
958151670700
1020601179712
118811913263
123bab363000
131c340c7489
14dd60987a8
1580891d3ac
hex4cbed0e40

20601179712 has 280 divisors, whose sum is σ = 62943354936. Its totient is φ = 6659407872.

The previous prime is 20601179707. The next prime is 20601179743. The reversal of 20601179712 is 21797110602.

It is a happy number.

20601179712 is a `hidden beast` number, since 20 + 601 + 17 + 9 + 7 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 949625856 + 19651553856 = 30816^2 + 140184^2 .

It is a super-2 number, since 2×206011797122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26650558 + ... + 26651330.

Almost surely, 220601179712 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 20601179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31471677468).

20601179712 is an abundant number, since it is smaller than the sum of its proper divisors (42342175224).

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

20601179712 is an equidigital number, since it uses as much as digits as its factorization.

20601179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 20601179712 in words is "twenty billion, six hundred one million, one hundred seventy-nine thousand, seven hundred twelve".