Search a number
-
+
12843740448 = 253272111731157
BaseRepresentation
bin10111111011000101…
…11110110100100000
31020011002202121122200
423331202332310200
5202300444143243
65522245533200
7633164664300
oct137542766440
936132677580
1012843740448
1154a0a58330
1225a5414200
131298bc0926
1489bad1600
15502887ad3
hex2fd8bed20

12843740448 has 864 divisors, whose sum is σ = 50982317568. Its totient is φ = 3019161600.

The previous prime is 12843740423. The next prime is 12843740449. The reversal of 12843740448 is 84404734821.

12843740448 is a `hidden beast` number, since 128 + 43 + 7 + 40 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (12843740449) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 81807186 + ... + 81807342.

It is an arithmetic number, because the mean of its divisors is an integer number (59007312).

Almost surely, 212843740448 is an apocalyptic number.

12843740448 is a gapful number since it is divisible by the number (18) 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 12843740448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491158784).

12843740448 is an abundant number, since it is smaller than the sum of its proper divisors (38138577120).

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

12843740448 is a wasteful number, since it uses less digits than its factorization.

12843740448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 12843740448 in words is "twelve billion, eight hundred forty-three million, seven hundred forty thousand, four hundred forty-eight".