Search a number
-
+
20695516848 = 243617295961
BaseRepresentation
bin10011010001100011…
…001000011010110000
31222102022021012000000
4103101203020122300
5314341023014343
613301332430000
71331565663546
oct232143103260
958368235000
1020695516848
118860097136
124016a78300
131c4a807576
141004813d96
15811d54ed3
hex4d18c86b0

20695516848 has 560 divisors, whose sum is σ = 68064170400. Its totient is φ = 6061547520.

The previous prime is 20695516811. The next prime is 20695516867. The reversal of 20695516848 is 84861559602.

20695516848 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 551 + 6 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20695516794 and 20695516803.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339270738 + ... + 339270798.

Almost surely, 220695516848 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 20695516848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34032085200).

20695516848 is an abundant number, since it is smaller than the sum of its proper divisors (47368653552).

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

20695516848 is a wasteful number, since it uses less digits than its factorization.

20695516848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 20695516848 in words is "twenty billion, six hundred ninety-five million, five hundred sixteen thousand, eight hundred forty-eight".