Search a number
-
+
1969522429056 = 27371341233529
BaseRepresentation
bin11100101010010000101…
…011110100110010000000
320222021200101220211102020
4130222100223310302000
5224232040220212211
64104441444521440
7262202413266060
oct34522053646200
96867611824366
101969522429056
1169a2a707a726
122798590b0280
1311395726b120
146b47ac4b3a0
15363724bb306
hex1ca90af4c80

1969522429056 has 384 divisors, whose sum is σ = 6599894985600. Its totient is φ = 506750238720.

The previous prime is 1969522429037. The next prime is 1969522429067. The reversal of 1969522429056 is 6509242259691.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×19695224290562 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 58724100 + ... + 58757628.

It is an arithmetic number, because the mean of its divisors is an integer number (17187226525).

Almost surely, 21969522429056 is an apocalyptic number.

1969522429056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1969522429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299947492800).

1969522429056 is an abundant number, since it is smaller than the sum of its proper divisors (4630372556544).

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

1969522429056 is a wasteful number, since it uses less digits than its factorization.

1969522429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33648 (or 33595 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 1969522429056 in words is "one trillion, nine hundred sixty-nine billion, five hundred twenty-two million, four hundred twenty-nine thousand, fifty-six".