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939381593089 = 401224172
BaseRepresentation
bin11011010101101111000…
…00011001010000000001
310022210201010012021221011
431222313200121100001
5110342323141434324
61555313531400521
7124603515536512
oct15526740312001
93283633167834
10939381593089
11332431468645
12132084bb3141
136a777699804
14336757b8a09
151967eaabc94
hexdab7819401

939381593089 has 9 divisors (see below), whose sum is σ = 942119821321. Its totient is φ = 936651308800.

The previous prime is 939381593071. The next prime is 939381593167. The reversal of 939381593089 is 980395183939.

The square root of 939381593089 is 969217.

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 875974324225 + 63407268864 = 935935^2 + 251808^2 .

It is not a de Polignac number, because 939381593089 - 215 = 939381560321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (939381593389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 388654809 + ... + 388657225.

Almost surely, 2939381593089 is an apocalyptic number.

939381593089 is the 969217-th square number.

939381593089 is the 484609-th centered octagonal number.

It is an amenable number.

939381593089 is a deficient number, since it is larger than the sum of its proper divisors (2738228232).

939381593089 is an frugal number, since it uses more digits than its factorization.

939381593089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 67.

The spelling of 939381593089 in words is "nine hundred thirty-nine billion, three hundred eighty-one million, five hundred ninety-three thousand, eighty-nine".

Divisors: 1 401 2417 160801 969217 5841889 388656017 2342597489 939381593089