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390663750961 = 112568212
BaseRepresentation
bin1011010111101010101…
…11111100010100110001
31101100101000202210000101
411223311113330110301
522400034410012321
6455245103552401
740140004044031
oct5536527742461
91340330683011
10390663750961
11140752559300
12638685bb701
132aabb30ab23
1414ca025d8c1
15a266e4c791
hex5af55fc531

390663750961 has 9 divisors (see below), whose sum is σ = 429414820779. Its totient is φ = 355142614200.

The previous prime is 390663750959. The next prime is 390663750977. The reversal of 390663750961 is 169057366093.

The square root of 390663750961 is 625031.

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

It can be written as a sum of positive squares in only one way, i.e., 146291715361 + 244372035600 = 382481^2 + 494340^2 .

It is not a de Polignac number, because 390663750961 - 21 = 390663750959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390663750901) 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 8 ways as a sum of consecutive naturals, for example, 6846931 + ... + 6903751.

Almost surely, 2390663750961 is an apocalyptic number.

390663750961 is the 625031-st square number.

390663750961 is the 312516-th centered octagonal number.

It is an amenable number.

390663750961 is a deficient number, since it is larger than the sum of its proper divisors (38751069818).

390663750961 is an frugal number, since it uses more digits than its factorization.

390663750961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113664 (or 56832 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 55.

The spelling of 390663750961 in words is "three hundred ninety billion, six hundred sixty-three million, seven hundred fifty thousand, nine hundred sixty-one".

Divisors: 1 11 121 56821 625031 6875341 3228626041 35514886451 390663750961