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20006026400 = 255225007533
BaseRepresentation
bin10010101000011100…
…111011110010100000
31220122020212102220202
4102220130323302200
5311433020321100
613105102324332
71305524263403
oct225034736240
956566772822
1020006026400
118536975818
123a63b896a8
131b6aa07959
14d7b013d3a
157c155b7d5
hex4a873bca0

20006026400 has 36 divisors (see below), whose sum is σ = 48839713902. Its totient is φ = 8002410240.

The previous prime is 20006026399. The next prime is 20006026487. The reversal of 20006026400 is 462060002.

It can be written as a sum of positive squares in 3 ways, for example, as 12902233744 + 7103792656 = 113588^2 + 84284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12502967 + ... + 12504566.

Almost surely, 220006026400 is an apocalyptic number.

20006026400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20006026400 is an abundant number, since it is smaller than the sum of its proper divisors (28833687502).

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

20006026400 is a wasteful number, since it uses less digits than its factorization.

20006026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25007553 (or 25007540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20006026400 its reverse (462060002), we get a palindrome (20468086402).

It can be divided in two parts, 2000602 and 6400, that added together give a palindrome (2007002).

The spelling of 20006026400 in words is "twenty billion, six million, twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 25007533 50015066 100030132 125037665 200060264 250075330 400120528 500150660 625188325 800241056 1000301320 1250376650 2000602640 2500753300 4001205280 5001506600 10003013200 20006026400