Search a number
-
+
23466536340 = 223513199191723
BaseRepresentation
bin10101110110101101…
…101110110110010100
32020120102102120010120
4111312231232312110
5341024413130330
614440321151540
71460344160562
oct256655566624
966512376116
1023466536340
119a52280095
12466aa8b5b0
13229c928880
1411c8852a32
15925267c10
hex576b6ed94

23466536340 has 192 divisors, whose sum is σ = 74609203200. Its totient is φ = 5463230976.

The previous prime is 23466536311. The next prime is 23466536351. The reversal of 23466536340 is 4363566432.

It is a junction number, because it is equal to n+sod(n) for n = 23466536292 and 23466536301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13618719 + ... + 13620441.

It is an arithmetic number, because the mean of its divisors is an integer number (388589600).

Almost surely, 223466536340 is an apocalyptic number.

23466536340 is a gapful number since it is divisible by the number (20) 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 23466536340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37304601600).

23466536340 is an abundant number, since it is smaller than the sum of its proper divisors (51142666860).

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

23466536340 is a wasteful number, since it uses less digits than its factorization.

23466536340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 23466536340 in words is "twenty-three billion, four hundred sixty-six million, five hundred thirty-six thousand, three hundred forty".