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20242000400 = 245250605001
BaseRepresentation
bin10010110110100001…
…000110101000010000
31221020200220011101112
4102312201012220100
5312423423003100
613144332152452
71314421110266
oct226641065020
957220804345
1020242000400
118648099556
123b0b008728
131ba787913b
14da04bc436
157d711eb35
hex4b6846a10

20242000400 has 30 divisors (see below), whose sum is σ = 48631406922. Its totient is φ = 8096800000.

The previous prime is 20242000393. The next prime is 20242000451. The reversal of 20242000400 is 400024202.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 963233296 + 19278767104 = 31036^2 + 138848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25302101 + ... + 25302900.

Almost surely, 220242000400 is an apocalyptic number.

20242000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242000400 is an abundant number, since it is smaller than the sum of its proper divisors (28389406522).

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

20242000400 is a wasteful number, since it uses less digits than its factorization.

20242000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50605019 (or 50605008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20242000400 its reverse (400024202), we get a palindrome (20642024602).

The spelling of 20242000400 in words is "twenty billion, two hundred forty-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50605001 101210002 202420004 253025005 404840008 506050010 809680016 1012100020 1265125025 2024200040 2530250050 4048400080 5060500100 10121000200 20242000400