Search a number
-
+
12542339550 = 235213371311327
BaseRepresentation
bin10111010111001010…
…01110100111011110
31012101002121212100110
423223211032213132
5201141314331200
65432321510450
7622545061416
oct135345164736
935332555313
1012542339550
115356907384
1225204a2426
13124b6222c0
1486da75646
154d619db50
hex2eb94e9de

12542339550 has 192 divisors, whose sum is σ = 34691779584. Its totient is φ = 2978726400.

The previous prime is 12542339531. The next prime is 12542339567. The reversal of 12542339550 is 5593324521.

It is a super-4 number, since 4×125423395504 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12542339499 and 12542339508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9450987 + ... + 9452313.

It is an arithmetic number, because the mean of its divisors is an integer number (180686352).

Almost surely, 212542339550 is an apocalyptic number.

12542339550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12542339550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345889792).

12542339550 is an abundant number, since it is smaller than the sum of its proper divisors (22149440034).

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

12542339550 is a wasteful number, since it uses less digits than its factorization.

12542339550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 12542339550 in words is "twelve billion, five hundred forty-two million, three hundred thirty-nine thousand, five hundred fifty".