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24293781056 = 261039293967
BaseRepresentation
bin10110101000000001…
…011010111001000000
32022201002000221112202
4112220001122321000
5344223201443211
615054352012332
71520010506006
oct265001327100
968632027482
1024293781056
11a33722a306
12485bb310a8
1323a212a59c
141266670a76
15972bc253b
hex5a805ae40

24293781056 has 56 divisors (see below), whose sum is σ = 48740689920. Its totient is φ = 12012982272.

The previous prime is 24293781011. The next prime is 24293781089. The reversal of 24293781056 is 65018739242.

It is a self number, because there is not a number n which added to its sum of digits gives 24293781056.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6121985 + ... + 6125951.

It is a 1-persistent number, because it is pandigital, but 2⋅24293781056 = 48587562112 is not.

Almost surely, 224293781056 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 24293781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24370344960).

24293781056 is an abundant number, since it is smaller than the sum of its proper divisors (24446908864).

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

24293781056 is a wasteful number, since it uses less digits than its factorization.

24293781056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 24293781056 in words is "twenty-four billion, two hundred ninety-three million, seven hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 929 1648 1858 3296 3716 3967 6592 7432 7934 14864 15868 29728 31736 59456 63472 95687 126944 191374 253888 382748 408601 765496 817202 1530992 1634404 3061984 3268808 3685343 6123968 6537616 7370686 13075232 14741372 26150464 29482744 58965488 117930976 235861952 379590329 759180658 1518361316 3036722632 6073445264 12146890528 24293781056