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20412044334 = 2331188338917
BaseRepresentation
bin10011000000101001…
…110001010000101110
31221200112212021211000
4103000221301100232
5313300440404314
613213244541130
71321554341223
oct230051612056
957615767730
1020412044334
118725081030
123b57b517a6
131c03b75456
14db8d0394a
157e700d209
hex4c0a7142e

20412044334 has 64 divisors (see below), whose sum is σ = 49541057280. Its totient is φ = 6178304160.

The previous prime is 20412044311. The next prime is 20412044339. The reversal of 20412044334 is 43344021402.

It is a happy number.

20412044334 is a `hidden beast` number, since 20 + 4 + 1 + 204 + 433 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20412044298 and 20412044307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412044339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505044 + ... + 543960.

It is an arithmetic number, because the mean of its divisors is an integer number (774079020).

Almost surely, 220412044334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412044334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24770528640).

20412044334 is an abundant number, since it is smaller than the sum of its proper divisors (29129012946).

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

20412044334 is a wasteful number, since it uses less digits than its factorization.

20412044334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39822 (or 39816 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20412044334 its reverse (43344021402), we get a palindrome (63756065736).

The spelling of 20412044334 in words is "twenty billion, four hundred twelve million, forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 883 1766 2649 5298 7947 9713 15894 19426 23841 29139 38917 47682 58278 77834 87417 116751 174834 233502 262251 350253 428087 524502 700506 856174 1050759 1284261 2101518 2568522 3852783 7705566 11558349 23116698 34363711 68727422 103091133 206182266 309273399 378000821 618546798 756001642 927820197 1134002463 1855640394 2268004926 3402007389 6804014778 10206022167 20412044334