Search a number
-
+
1939955909329 = 8329721732
BaseRepresentation
bin11100001110101110011…
…000100000001011010001
320212110100212022000012001
4130032232120200023101
5223241012203044304
64043111535434001
7260104626104104
oct34165630401321
96773325260161
101939955909329
11688804599859
12273b87385901
13110c2493a739
1469c7420073b
15356e196ada4
hex1c3ae6202d1

1939955909329 has 27 divisors (see below), whose sum is σ = 1995597438033. Its totient is φ = 1885860056832.

The previous prime is 1939955909327. The next prime is 1939955909383. The reversal of 1939955909329 is 9239095599391.

The square root of 1939955909329 is 1392823.

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 335731012929 + 1604224896400 = 579423^2 + 1266580^2 .

It is not a de Polignac number, because 1939955909329 - 21 = 1939955909327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1939955909327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11213617887 + ... + 11213618059.

Almost surely, 21939955909329 is an apocalyptic number.

1939955909329 is the 1392823-rd square number.

1939955909329 is the 696412-nd centered octagonal number.

It is an amenable number.

1939955909329 is a deficient number, since it is larger than the sum of its proper divisors (55641528704).

1939955909329 is an frugal number, since it uses more digits than its factorization.

1939955909329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 239148450, while the sum is 73.

The spelling of 1939955909329 in words is "one trillion, nine hundred thirty-nine billion, nine hundred fifty-five million, nine hundred nine thousand, three hundred twenty-nine".

Divisors: 1 83 97 173 6889 8051 9409 14359 16781 29929 668233 780947 1191797 1392823 1627757 2484107 2903113 64818601 115604309 135103831 206180881 240958379 281601961 11213617973 19999545457 23372962763 1939955909329