Search a number
-
+
12134245024 = 251137392419
BaseRepresentation
bin10110100110100000…
…11110001010100000
31011022122201111220101
423103100132022200
5144322331320044
65324022552144
7606461244436
oct132320361240
934278644811
1012134245024
115167512980
122427898654
1311b4c08555
148317a4d56
154b043bcd4
hex2d341e2a0

12134245024 has 48 divisors (see below), whose sum is σ = 26131200480. Its totient is φ = 5500719360.

The previous prime is 12134245021. The next prime is 12134245027. The reversal of 12134245024 is 42054243121.

It is an interprime number because it is at equal distance from previous prime (12134245021) and next prime (12134245027).

It is a junction number, because it is equal to n+sod(n) for n = 12134244983 and 12134245001.

It is not an unprimeable number, because it can be changed into a prime (12134245021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85087 + ... + 177505.

It is an arithmetic number, because the mean of its divisors is an integer number (544400010).

Almost surely, 212134245024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065600240).

12134245024 is an abundant number, since it is smaller than the sum of its proper divisors (13996955456).

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

12134245024 is a wasteful number, since it uses less digits than its factorization.

12134245024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92813 (or 92805 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 12134245024 its reverse (42054243121), we get a palindrome (54188488145).

The spelling of 12134245024 in words is "twelve billion, one hundred thirty-four million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 373 746 1492 2984 4103 5968 8206 11936 16412 32824 65648 92419 131296 184838 369676 739352 1016609 1478704 2033218 2957408 4066436 8132872 16265744 32531488 34472287 68944574 137889148 275778296 379195157 551556592 758390314 1103113184 1516780628 3033561256 6067122512 12134245024