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426033090918 = 2321723415389313
BaseRepresentation
bin1100011001100011000…
…11010001000101100110
31111201122222102102010100
412030301203101011212
523440003432402133
6523414503404530
742531332344161
oct6146143210546
91451588372110
10426033090918
11154752633976
126a699753746
1331236bc9856
141689782cad8
15b137136e13
hex63318d1166

426033090918 has 384 divisors, whose sum is σ = 1079850320640. Its totient is φ = 120613109760.

The previous prime is 426033090907. The next prime is 426033090983. The reversal of 426033090918 is 819090330624.

It is a happy number.

426033090918 is a `hidden beast` number, since 4 + 2 + 603 + 30 + 9 + 0 + 9 + 1 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1361127930 + ... + 1361128242.

It is an arithmetic number, because the mean of its divisors is an integer number (2812110210).

Almost surely, 2426033090918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426033090918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539925160320).

426033090918 is an abundant number, since it is smaller than the sum of its proper divisors (653817229722).

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

426033090918 is a wasteful number, since it uses less digits than its factorization.

426033090918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 426033090918 in words is "four hundred twenty-six billion, thirty-three million, ninety thousand, nine hundred eighteen".