Search a number
-
+
20819012500 = 2255111319613
BaseRepresentation
bin10011011000111010…
…001110101110010100
31222201220122102012001
4103120322032232110
5320114131400000
613321503405044
71334625454306
oct233072165624
958656572161
1020819012500
118913876260
1240502b3784
131c6a286610
141016d9d976
1581caeb46a
hex4d8e8eb94

20819012500 has 288 divisors, whose sum is σ = 56407639680. Its totient is φ = 6609600000.

The previous prime is 20819012491. The next prime is 20819012509. The reversal of 20819012500 is 521091802.

It is an interprime number because it is at equal distance from previous prime (20819012491) and next prime (20819012509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20819012509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33962194 + ... + 33962806.

It is an arithmetic number, because the mean of its divisors is an integer number (195859860).

Almost surely, 220819012500 is an apocalyptic number.

20819012500 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 20819012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28203819840).

20819012500 is an abundant number, since it is smaller than the sum of its proper divisors (35588627180).

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

20819012500 is a wasteful number, since it uses less digits than its factorization.

20819012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 20819012500 in words is "twenty billion, eight hundred nineteen million, twelve thousand, five hundred".