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20238204672 = 2833731103131
BaseRepresentation
bin10010110110010010…
…100111111100000000
31221020102202022122000
4102312102213330000
5312421440022142
613144114544000
71314343621110
oct226622477400
957212668560
1020238204672
118645a36794
123b09898000
131ba6b4a54a
14d9dbb1040
157d6b2014c
hex4b64a7f00

20238204672 has 576 divisors, whose sum is σ = 71833681920. Its totient is φ = 5499187200.

The previous prime is 20238204671. The next prime is 20238204677. The reversal of 20238204672 is 27640283202.

It is a happy number.

20238204672 is a `hidden beast` number, since 202 + 382 + 0 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20238204671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154490047 + ... + 154490177.

Almost surely, 220238204672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20238204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35916840960).

20238204672 is an abundant number, since it is smaller than the sum of its proper divisors (51595477248).

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

20238204672 is a wasteful number, since it uses less digits than its factorization.

20238204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 20238204672 its reverse (27640283202), we get a palindrome (47878487874).

The spelling of 20238204672 in words is "twenty billion, two hundred thirty-eight million, two hundred four thousand, six hundred seventy-two".