Search a number
-
+
12458022840 = 23325371078741
BaseRepresentation
bin10111001101000111…
…00101011110111000
31012011012222010120100
423212203211132320
5201003223212330
65420110355400
7620502306204
oct134643453670
935135863510
1012458022840
115313257a4a
1224b81bbb60
131237010163
148627a7b04
154cda96060
hex2e68e57b8

12458022840 has 192 divisors, whose sum is σ = 41976286560. Its totient is φ = 3201776640.

The previous prime is 12458022821. The next prime is 12458022851. The reversal of 12458022840 is 4822085421.

12458022840 is a `hidden beast` number, since 12 + 4 + 580 + 2 + 28 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12458022795 and 12458022804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420870 + ... + 1429610.

Almost surely, 212458022840 is an apocalyptic number.

12458022840 is a gapful number since it is divisible by the number (10) 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 12458022840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988143280).

12458022840 is an abundant number, since it is smaller than the sum of its proper divisors (29518263720).

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

12458022840 is a wasteful number, since it uses less digits than its factorization.

12458022840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12458022840 in words is "twelve billion, four hundred fifty-eight million, twenty-two thousand, eight hundred forty".