Search a number
-
+
1969632606096 = 24321169532
BaseRepresentation
bin11100101010010111010…
…000000111011110010000
320222021222002020101220100
4130222113100013132100
5224232301421343341
64104500422212400
7262205221625661
oct34522720073620
96867862211810
101969632606096
1169a353292331
12279889b84100
13113974035c3c
146b48b72b368
153637bed13b6
hex1ca97407790

1969632606096 has 45 divisors (see below), whose sum is σ = 5512282828689. Its totient is φ = 656538588288.

The previous prime is 1969632606089. The next prime is 1969632606103. The reversal of 1969632606096 is 6906062369691.

The square root of 1969632606096 is 1403436.

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

1969632606096 is a `hidden beast` number, since 19 + 6 + 9 + 6 + 3 + 2 + 6 + 0 + 609 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1969632606089) and next prime (1969632606103).

It can be written as a sum of positive squares in only one way, i.e., 269049690000 + 1700582916096 = 518700^2 + 1304064^2 .

It is a super-2 number, since 2×19696326060962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16782756 + ... + 16899708.

Almost surely, 21969632606096 is an apocalyptic number.

1969632606096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1969632606096 is the 1403436-th square number.

It is an amenable number.

1969632606096 is an abundant number, since it is smaller than the sum of its proper divisors (3542650222593).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1969632606096 is an frugal number, since it uses more digits than its factorization.

1969632606096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233920 (or 116958 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 1969632606096 in words is "one trillion, nine hundred sixty-nine billion, six hundred thirty-two million, six hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 116953 233906 350859 467812 701718 935624 1052577 1403436 1871248 2105154 2806872 4210308 5613744 8420616 16841232 13678004209 27356008418 41034012627 54712016836 82068025254 109424033672 123102037881 164136050508 218848067344 246204075762 328272101016 492408151524 656544202032 984816303048 1969632606096