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20204037504 = 273272359997
BaseRepresentation
bin10010110100010000…
…010010010110000000
31221011001110110002100
4102310100102112000
5312334213200004
613140454350400
71313450325300
oct226420222600
957131413070
1020204037504
11862871a462
123aba35b400
131b9ca468a1
14d99439600
157d3b21739
hex4b4412580

20204037504 has 288 divisors, whose sum is σ = 67887752400. Its totient is φ = 5750728704.

The previous prime is 20204037487. The next prime is 20204037541. The reversal of 20204037504 is 40573040202.

20204037504 is a `hidden beast` number, since 202 + 0 + 403 + 7 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20264334 + ... + 20265330.

Almost surely, 220204037504 is an apocalyptic number.

20204037504 is a gapful number since it is divisible by the number (24) 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 20204037504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33943876200).

20204037504 is an abundant number, since it is smaller than the sum of its proper divisors (47683714896).

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

20204037504 is a wasteful number, since it uses less digits than its factorization.

20204037504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 20204037504 its reverse (40573040202), we get a palindrome (60777077706).

The spelling of 20204037504 in words is "twenty billion, two hundred four million, thirty-seven thousand, five hundred four".