Search a number
-
+
23139891828480 = 283571978575099
BaseRepresentation
bin1010100001011101011010…
…00010000101011100000000
310000221011002211212222102110
411100232231002011130000
511013110444302002410
6121114153005015320
74605542043140310
oct520565502053400
9100834084788373
1023139891828480
117411633754aa9
1227187bab54540
13cbb10c1608bb
1459dd96265440
152a1dc5a80720
hex150bad085700

23139891828480 has 576 divisors, whose sum is σ = 85005060940800. Its totient is φ = 5255098662912.

The previous prime is 23139891828461. The next prime is 23139891828539. The reversal of 23139891828480 is 8482819893132.

It is a super-2 number, since 2×231398918284802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4538120971 + ... + 4538126069.

It is an arithmetic number, because the mean of its divisors is an integer number (147578230800).

Almost surely, 223139891828480 is an apocalyptic number.

23139891828480 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 23139891828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42502530470400).

23139891828480 is an abundant number, since it is smaller than the sum of its proper divisors (61865169112320).

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

23139891828480 is a wasteful number, since it uses less digits than its factorization.

23139891828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The spelling of 23139891828480 in words is "twenty-three trillion, one hundred thirty-nine billion, eight hundred ninety-one million, eight hundred twenty-eight thousand, four hundred eighty".