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20432000012424 = 2337111317371352119
BaseRepresentation
bin1001010010101001100100…
…00110100101000010001000
32200100021120012200221021220
410221110302012211002020
510134224214000344144
6111242155313402040
74206110002364520
oct451246206450210
980307505627256
1020432000012424
1165681873893a0
12235ba37569320
13b52963467070
14508cb2328680
1525673ac6e919
hex1295321a5088

20432000012424 has 512 divisors, whose sum is σ = 74579910451200. Its totient is φ = 4486003015680.

The previous prime is 20432000012381. The next prime is 20432000012429. The reversal of 20432000012424 is 42421000023402.

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

It is a junction number, because it is equal to n+sod(n) for n = 20432000012394 and 20432000012403.

It is not an unprimeable number, because it can be changed into a prime (20432000012429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14435037 + ... + 15787155.

It is an arithmetic number, because the mean of its divisors is an integer number (145663887600).

Almost surely, 220432000012424 is an apocalyptic number.

20432000012424 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 20432000012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37289955225600).

20432000012424 is an abundant number, since it is smaller than the sum of its proper divisors (54147910438776).

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

20432000012424 is a wasteful number, since it uses less digits than its factorization.

20432000012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352213 (or 1352209 counting only the distinct ones).

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

Adding to 20432000012424 its reverse (42421000023402), we get a palindrome (62853000035826).

The spelling of 20432000012424 in words is "twenty trillion, four hundred thirty-two billion, twelve thousand, four hundred twenty-four".