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24252252340 = 2259726894649
BaseRepresentation
bin10110100101100011…
…000000000010110100
32022121011220001212011
4112211203000002310
5344132034033330
615050305534004
71515664513021
oct264543000264
968534801764
1024252252340
11a315845158
12484a044304
132396649c94
141260d40548
1596e21c82a
hex5a58c00b4

24252252340 has 48 divisors (see below), whose sum is σ = 51484986000. Its totient is φ = 9595256832.

The previous prime is 24252252331. The next prime is 24252252341. The reversal of 24252252340 is 4325225242.

It can be written as a sum of positive squares in 8 ways, for example, as 133541136 + 24118711204 = 11556^2 + 155302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24252252341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5214336 + ... + 5218984.

It is an arithmetic number, because the mean of its divisors is an integer number (1072603875).

Almost surely, 224252252340 is an apocalyptic number.

24252252340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24252252340 is an abundant number, since it is smaller than the sum of its proper divisors (27232733660).

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

24252252340 is a wasteful number, since it uses less digits than its factorization.

24252252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 24252252340 its reverse (4325225242), we get a palindrome (28577477582).

The spelling of 24252252340 in words is "twenty-four billion, two hundred fifty-two million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 2689 4649 5378 9298 10756 13445 18596 23245 26890 46490 53780 92980 260833 450953 521666 901906 1043332 1304165 1803812 2254765 2608330 4509530 5216660 9019060 12501161 25002322 50004644 62505805 125011610 250023220 1212612617 2425225234 4850450468 6063063085 12126126170 24252252340