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390661250841 = 3253239312
BaseRepresentation
bin1011010111101010011…
…10011001111100011001
31101100100212001202111100
411223311032121330121
522400033240011331
6455244534222013
740136643562041
oct5536516317431
91340325052440
10390661250841
11140751100994
12638677b4909
132aaba943b74
1414c9dbac721
15a266b06ae6
hex5af5399f19

390661250841 has 27 divisors (see below), whose sum is σ = 575282656767. Its totient is φ = 255461852880.

The previous prime is 390661250827. The next prime is 390661250899. The reversal of 390661250841 is 148052166093.

The square root of 390661250841 is 625029.

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

390661250841 is a `hidden beast` number, since 3 + 90 + 6 + 6 + 12 + 508 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 281626569225 + 109034681616 = 530685^2 + 330204^2 .

It is not a de Polignac number, because 390661250841 - 211 = 390661248793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (390661270841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99377646 + ... + 99381576.

Almost surely, 2390661250841 is an apocalyptic number.

390661250841 is the 625029-th square number.

390661250841 is the 312515-th centered octagonal number.

It is an amenable number.

390661250841 is a deficient number, since it is larger than the sum of its proper divisors (184621405926).

390661250841 is an frugal number, since it uses more digits than its factorization.

390661250841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 390661250841 in words is "three hundred ninety billion, six hundred sixty-one million, two hundred fifty thousand, eight hundred forty-one".

Divisors: 1 3 9 53 159 477 2809 3931 8427 11793 25281 35379 208343 625029 1875087 11042179 15452761 33126537 46358283 99379611 139074849 818996333 2456988999 7370966997 43406805649 130220416947 390661250841