Search a number
-
+
24285105396 = 2234673111373
BaseRepresentation
bin10110100111100000…
…010100110011110100
32022200110201011210000
4112213200110303310
5344213441333041
615053442031300
71516543663356
oct264740246364
968613634700
1024285105396
11a332344142
124859048530
1323a03b0766
1412654530d6
1597205bbb6
hex5a7814cf4

24285105396 has 60 divisors (see below), whose sum is σ = 63580966372. Its totient is φ = 8082934272.

The previous prime is 24285105371. The next prime is 24285105413. The reversal of 24285105396 is 69350158242.

24285105396 is a `hidden beast` number, since 2 + 42 + 8 + 510 + 5 + 3 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17718272100 + 6566833296 = 133110^2 + 81036^2 .

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 19 ways as a sum of consecutive naturals, for example, 162366 + ... + 273738.

Almost surely, 224285105396 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 24285105396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31790483186).

24285105396 is an abundant number, since it is smaller than the sum of its proper divisors (39295860976).

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

24285105396 is a wasteful number, since it uses less digits than its factorization.

24285105396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112062 (or 112051 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 24285105396 in words is "twenty-four billion, two hundred eighty-five million, one hundred five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 673 1346 2019 2692 4038 6057 8076 12114 18171 24228 36342 54513 72684 109026 111373 218052 222746 334119 445492 668238 1002357 1336476 2004714 3007071 4009428 6014142 9021213 12028284 18042426 36084852 74954029 149908058 224862087 299816116 449724174 674586261 899448348 1349172522 2023758783 2698345044 4047517566 6071276349 8095035132 12142552698 24285105396