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24093293320 = 2355382913709
BaseRepresentation
bin10110011100000100…
…100111101100001000
32022012002210010002001
4112130010213230020
5343320340341240
615022430520344
71512024420445
oct263404475410
968162703061
1024093293320
11a244043968
1248049660b4
13236c7322a5
141247ba29cc
159602bd89a
hex59c127b08

24093293320 has 64 divisors (see below), whose sum is σ = 55303398000. Its totient is φ = 9443386368.

The previous prime is 24093293309. The next prime is 24093293353. The reversal of 24093293320 is 2339239042.

It can be written as a sum of positive squares in 8 ways, for example, as 18549895204 + 5543398116 = 136198^2 + 74454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24093293320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750626 + ... + 1764334.

Almost surely, 224093293320 is an apocalyptic number.

24093293320 is a gapful number since it is divisible by the number (20) 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 24093293320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651699000).

24093293320 is an abundant number, since it is smaller than the sum of its proper divisors (31210104680).

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

24093293320 is a wasteful number, since it uses less digits than its factorization.

24093293320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 24093293320 in words is "twenty-four billion, ninety-three million, two hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 829 1060 1658 2120 3316 4145 6632 8290 13709 16580 27418 33160 43937 54836 68545 87874 109672 137090 175748 219685 274180 351496 439370 548360 726577 878740 1453154 1757480 2906308 3632885 5812616 7265770 11364761 14531540 22729522 29063080 45459044 56823805 90918088 113647610 227295220 454590440 602332333 1204664666 2409329332 3011661665 4818658664 6023323330 12046646660 24093293320