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20012424432 = 243711133711257
BaseRepresentation
bin10010101000110101…
…010101110011110000
31220122200220111100220
4102220311111303300
5311441140040212
613105451413040
71305632541510
oct225065256360
956580814326
1020012424432
11853a545750
123a66154180
131b6c137b80
14d7bbdb840
157c1dc238c
hex4a8d55cf0

20012424432 has 320 divisors, whose sum is σ = 71296103424. Its totient is φ = 4668088320.

The previous prime is 20012424431. The next prime is 20012424437. The reversal of 20012424432 is 23442421002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012424431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1772148 + ... + 1783404.

Almost surely, 220012424432 is an apocalyptic number.

20012424432 is a gapful number since it is divisible by the number (22) 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 20012424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35648051712).

20012424432 is an abundant number, since it is smaller than the sum of its proper divisors (51283678992).

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

20012424432 is a wasteful number, since it uses less digits than its factorization.

20012424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20012424432 its reverse (23442421002), we get a palindrome (43454845434).

It can be divided in two parts, 20012 and 424432, that added together give a palindrome (444444).

The spelling of 20012424432 in words is "twenty billion, twelve million, four hundred twenty-four thousand, four hundred thirty-two".