Search a number
-
+
20002000000 = 275673137
BaseRepresentation
bin10010101000001101…
…100100110010000000
31220121222021212201211
4102220031210302000
5311431003000000
613104440135504
71305445123543
oct225015446200
956558255654
1020002000000
118534675714
123a62767594
131b69c28078
14d7a68685a
157c10137ba
hex4a8364c80

20002000000 has 224 divisors, whose sum is σ = 50859895860. Its totient is φ = 7833600000.

The previous prime is 20001999977. The next prime is 20002000021. The reversal of 20002000000 is 20002.

It can be written as a sum of positive squares in 14 ways, for example, as 16410634816 + 3591365184 = 128104^2 + 59928^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 145999932 + ... + 146000068.

Almost surely, 220002000000 is an apocalyptic number.

20002000000 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 20002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25429947930).

20002000000 is an abundant number, since it is smaller than the sum of its proper divisors (30857895860).

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

20002000000 is an frugal number, since it uses more digits than its factorization.

20002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

Adding to 20002000000 its reverse (20002), we get a palindrome (20002020002).

Multiplying 20002000000 by its reverse (20002), we get a square (400080004000000 = 200020002).

20002000000 divided by its reverse (20002) gives a 6-th power (1000000 = 106).

The spelling of 20002000000 in words is "twenty billion, two million", and thus it is an aban number and an uban number.