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290505908196 = 2232724123132
BaseRepresentation
bin1000011101000111000…
…00000101111111100100
31000202211212010012012100
410032203200011333210
514224424003030241
6341242341452100
726663002322400
oct4164340057744
91022755105170
10290505908196
11102226014639
1248375a11030
1321518bb47ca
14100bc272100
157853e349b6
hex43a3805fe4

290505908196 has 243 divisors, whose sum is σ = 878374925883. Its totient is φ = 80718543360.

The previous prime is 290505908167. The next prime is 290505908201. The reversal of 290505908196 is 691809505092.

The square root of 290505908196 is 538986.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 264926384100 + 25579524096 = 514710^2 + 159936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 928133736 + ... + 928134048.

Almost surely, 2290505908196 is an apocalyptic number.

290505908196 is the 538986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290505908196

290505908196 is an abundant number, since it is smaller than the sum of its proper divisors (587869017687).

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

290505908196 is a wasteful number, since it uses less digits than its factorization.

290505908196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 290505908196 in words is "two hundred ninety billion, five hundred five million, nine hundred eight thousand, one hundred ninety-six".