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20000020000 = 25541019901
BaseRepresentation
bin10010101000000110…
…000001011000100000
31220121211120021200111
4102220012001120200
5311430001120000
613104325501104
71305422236132
oct225006013040
956554507614
1020000020000
118533543054
123a61b71794
131b696b3a7c
14d7a2cd052
157c0c71cba
hex4a8181620

20000020000 has 120 divisors (see below), whose sum is σ = 49695226812. Its totient is φ = 7920000000.

The previous prime is 20000019973. The next prime is 20000020009. The reversal of 20000020000 is 2000002.

It can be written as a sum of positive squares in 10 ways, for example, as 1760977296 + 18239042704 = 41964^2 + 135052^2 .

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 not an unprimeable number, because it can be changed into a prime (20000020009) 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, 2015050 + ... + 2024950.

Almost surely, 220000020000 is an apocalyptic number.

20000020000 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 20000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24847613406).

20000020000 is an abundant number, since it is smaller than the sum of its proper divisors (29695206812).

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

20000020000 is an equidigital number, since it uses as much as digits as its factorization.

20000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032 (or 10009 counting only the distinct ones).

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

Adding to 20000020000 its reverse (2000002), we get a palindrome (20002020002).

20000020000 divided by its reverse (2000002) gives a 4-th power (10000 = 104).

The spelling of 20000020000 in words is "twenty billion, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 9901 10000 10100 12625 16160 19802 20000 20200 25250 39604 40400 49505 50500 63125 79208 80800 99010 101000 126250 158416 198020 202000 247525 252500 316832 396040 404000 495050 505000 792080 990100 1000001 1010000 1237625 1584160 1980200 2000002 2020000 2475250 3960400 4000004 4950500 5000005 6188125 7920800 8000008 9901000 10000010 12376250 16000016 19802000 20000020 24752500 25000025 32000032 39604000 40000040 49505000 50000050 80000080 99010000 100000100 125000125 160000160 198020000 200000200 250000250 400000400 500000500 625000625 800000800 1000001000 1250001250 2000002000 2500002500 4000004000 5000005000 10000010000 20000020000