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23024641248 = 2532747242999
BaseRepresentation
bin10101011100011000…
…000010010011100000
32012102121220222000200
4111130120002103200
5334123302004443
614324413545200
71443400135650
oct253430022340
965377828020
1023024641248
11984589a834
124566aa5200
13222c208c9b
141185ca4360
158eb57add3
hex55c6024e0

23024641248 has 144 divisors (see below), whose sum is σ = 76422528000. Its totient is φ = 6438475008.

The previous prime is 23024641243. The next prime is 23024641249. The reversal of 23024641248 is 84214642032.

23024641248 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 4 + 641 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23024641243) 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 23 ways as a sum of consecutive naturals, for example, 26748 + ... + 216251.

It is an arithmetic number, because the mean of its divisors is an integer number (530712000).

Almost surely, 223024641248 is an apocalyptic number.

23024641248 is a gapful number since it is divisible by the number (28) 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 23024641248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211264000).

23024641248 is an abundant number, since it is smaller than the sum of its proper divisors (53397886752).

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

23024641248 is a wasteful number, since it uses less digits than its factorization.

23024641248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243069 (or 243058 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 23024641248 in words is "twenty-three billion, twenty-four million, six hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 23688 31584 47376 94752 242999 485998 728997 971996 1457994 1700993 1943992 2186991 2915988 3401986 3887984 4373982 5102979 5831976 6803972 7775968 8747964 10205958 11420953 11663952 13607944 15308937 17495928 20411916 22841906 23327904 27215888 30617874 34262859 34991856 40823832 45683812 54431776 61235748 68525718 69983712 79946671 81647664 91367624 102788577 122471496 137051436 159893342 163295328 182735248 205577154 239840013 244942992 274102872 319786684 365470496 411154308 479680026 489885984 548205744 639573368 719520039 822308616 959360052 1096411488 1279146736 1439040078 1644617232 1918720104 2558293472 2878080156 3289234464 3837440208 5756160312 7674880416 11512320624 23024641248