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290534246964 = 2232132193597001
BaseRepresentation
bin1000011101001010011…
…00001100101000110100
31000202220211102221200100
410032211030030220310
514230003231400324
6341245233114100
726663465231613
oct4164514145064
91022824387610
10290534246964
1110224000aa05
12483833b8930
1321521a27600
14100c1d2b87a
1578566814c9
hex43a530ca34

290534246964 has 216 divisors, whose sum is σ = 839551003200. Its totient is φ = 84442176000.

The previous prime is 290534246953. The next prime is 290534246969. The reversal of 290534246964 is 469642435092.

290534246964 is a `hidden beast` number, since 2 + 9 + 0 + 534 + 2 + 46 + 9 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 290534246964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290534246969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41495464 + ... + 41502464.

It is an arithmetic number, because the mean of its divisors is an integer number (3886810200).

Almost surely, 2290534246964 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 290534246964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419775501600).

290534246964 is an abundant number, since it is smaller than the sum of its proper divisors (549016756236).

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

290534246964 is a wasteful number, since it uses less digits than its factorization.

290534246964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 290534246964 in words is "two hundred ninety billion, five hundred thirty-four million, two hundred forty-six thousand, nine hundred sixty-four".