Search a number
-
+
1968508233743 = 291374943100237
BaseRepresentation
bin11100101001010100001…
…110111110100000001111
320222012001201112100222212
4130221110032332200033
5224223001101434433
64104153055101035
7262135316623322
oct34512416764017
96865051470885
101968508233743
11699926640787
1227961551177b
1311382510095c
146b3c22867b9
1536313433d48
hex1ca543be80f

1968508233743 has 16 divisors (see below), whose sum is σ = 2051687422080. Its totient is φ = 1886354916096.

The previous prime is 1968508233733. The next prime is 1968508233767. The reversal of 1968508233743 is 3473328058691.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1968508233743 - 28 = 1968508233487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968508233733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19588421 + ... + 19688657.

It is an arithmetic number, because the mean of its divisors is an integer number (128230463880).

It is a 1-persistent number, because it is pandigital, but 2⋅1968508233743 = 3937016467486 is not.

Almost surely, 21968508233743 is an apocalyptic number.

1968508233743 is a deficient number, since it is larger than the sum of its proper divisors (83179188337).

1968508233743 is a wasteful number, since it uses less digits than its factorization.

1968508233743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105346.

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 1968508233743 in words is "one trillion, nine hundred sixty-eight billion, five hundred eight million, two hundred thirty-three thousand, seven hundred forty-three".

Divisors: 1 29 137 3973 4943 100237 143347 677191 2906873 13732469 19638539 398241601 495471491 14368673239 67879594267 1968508233743