Search a number
-
+
290291252765 = 51723314657473
BaseRepresentation
bin1000011100101101011…
…01001111111000011101
31000202021220012120022012
410032112231033320131
514224004030042030
6341205153001005
726654454635663
oct4162655177035
91022256176265
10290291252765
11102125931858
1248315b53165
13214b3598967
141009b956c33
157840183095
hex4396b4fe1d

290291252765 has 16 divisors (see below), whose sum is σ = 370423682928. Its totient is φ = 217634144256.

The previous prime is 290291252749. The next prime is 290291252777. The reversal of 290291252765 is 567252192092.

It can be written as a sum of positive squares in 8 ways, for example, as 1007554564 + 289283698201 = 31742^2 + 537851^2 .

It is a cyclic number.

It is not a de Polignac number, because 290291252765 - 24 = 290291252749 is a prime.

It is a super-2 number, since 2×2902912527652 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7308932 + ... + 7348541.

It is an arithmetic number, because the mean of its divisors is an integer number (23151480183).

Almost surely, 2290291252765 is an apocalyptic number.

It is an amenable number.

290291252765 is a deficient number, since it is larger than the sum of its proper divisors (80132430163).

290291252765 is a wasteful number, since it uses less digits than its factorization.

290291252765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14657728.

The product of its (nonzero) digits is 1360800, while the sum is 50.

The spelling of 290291252765 in words is "two hundred ninety billion, two hundred ninety-one million, two hundred fifty-two thousand, seven hundred sixty-five".

Divisors: 1 5 17 85 233 1165 3961 19805 14657473 73287365 249177041 1245885205 3415191209 17075956045 58058250553 290291252765