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290051988417 = 32103969309977
BaseRepresentation
bin1000011100010000111…
…00100001101111000001
31000201200012222200022200
410032020130201233001
514223011302112132
6341125324423413
726645521136202
oct4161034415701
91021605880280
10290051988417
11102012870a24
12482699a7b69
1321475b44919
1410077c735a9
15782916ed7c
hex4388721bc1

290051988417 has 12 divisors (see below), whose sum is σ = 418969364580. Its totient is φ = 193365508608.

The previous prime is 290051988349. The next prime is 290051988427. The reversal of 290051988417 is 714889150092.

It is a happy number.

290051988417 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 519 + 88 + 41 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218807837361 + 71244151056 = 467769^2 + 266916^2 .

It is not a de Polignac number, because 290051988417 - 224 = 290035211201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290051988427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780733 + ... + 1090709.

It is an arithmetic number, because the mean of its divisors is an integer number (34914113715).

Almost surely, 2290051988417 is an apocalyptic number.

It is an amenable number.

290051988417 is a deficient number, since it is larger than the sum of its proper divisors (128917376163).

290051988417 is a wasteful number, since it uses less digits than its factorization.

290051988417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413952 (or 413949 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 290051988417 in words is "two hundred ninety billion, fifty-one million, nine hundred eighty-eight thousand, four hundred seventeen".

Divisors: 1 3 9 103969 309977 311907 929931 935721 2789793 32227998713 96683996139 290051988417