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290919911009 = 72132326114153
BaseRepresentation
bin1000011101111000010…
…11011000111001100001
31000210220201010201021212
410032330023120321201
514231300444123014
6341351411155505
730006160304600
oct4167413307141
91023821121255
10290919911009
11102418784022
12484705a5b95
13215838b98a0
141011b23da37
15787a46223e
hex43bc2d8e61

290919911009 has 72 divisors (see below), whose sum is σ = 387256667112. Its totient is φ = 216545978880.

The previous prime is 290919910999. The next prime is 290919911033. The reversal of 290919911009 is 900119919092.

It can be written as a sum of positive squares in 4 ways, for example, as 7784179984 + 283135731025 = 88228^2 + 532105^2 .

It is not a de Polignac number, because 290919911009 - 216 = 290919845473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290919911089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20548277 + ... + 20562429.

It is an arithmetic number, because the mean of its divisors is an integer number (5378564821).

Almost surely, 2290919911009 is an apocalyptic number.

It is an amenable number.

290919911009 is a deficient number, since it is larger than the sum of its proper divisors (96336756103).

290919911009 is a wasteful number, since it uses less digits than its factorization.

290919911009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14257 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 50.

The spelling of 290919911009 in words is "two hundred ninety billion, nine hundred nineteen million, nine hundred eleven thousand, nine".

Divisors: 1 7 13 23 49 61 91 161 299 427 529 637 793 1127 1403 2093 2989 3703 5551 6877 9821 14153 14651 18239 25921 32269 38857 48139 68747 99071 127673 183989 225883 325519 336973 419497 693497 863333 893711 1287923 1581181 2278633 2936479 4231747 6043331 7486937 9015461 11223329 15950431 19856659 20555353 29622229 42303317 52408559 78563303 97330181 138996613 207355603 258136567 366859913 456703157 549943121 681311267 972976291 1806955969 3196922099 4769178869 5937141041 12648691783 22378454693 41559987287 290919911009