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2124605472 = 253114394583
BaseRepresentation
bin111111010100010…
…1110100000100000
312111001211010210120
41332220232200200
513322344333342
6550453400240
7103435564023
oct17650564040
95431733716
102124605472
119a03145a0
124b3639080
1327b224602
141622531ba
15c67c7aec
hex7ea2e820

2124605472 has 96 divisors (see below), whose sum is σ = 6099287040. Its totient is φ = 642213120.

The previous prime is 2124605467. The next prime is 2124605477. The reversal of 2124605472 is 2745064212.

It is an interprime number because it is at equal distance from previous prime (2124605467) and next prime (2124605477).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2124605477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461293 + ... + 465875.

It is an arithmetic number, because the mean of its divisors is an integer number (63534240).

Almost surely, 22124605472 is an apocalyptic number.

2124605472 is a gapful number since it is divisible by the number (22) 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 2124605472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049643520).

2124605472 is an abundant number, since it is smaller than the sum of its proper divisors (3974681568).

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

2124605472 is a wasteful number, since it uses less digits than its factorization.

2124605472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2124605472 is about 46093.4428308409. The cubic root of 2124605472 is about 1285.5612262805.

Adding to 2124605472 its reverse (2745064212), we get a palindrome (4869669684).

The spelling of 2124605472 in words is "two billion, one hundred twenty-four million, six hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 439 528 878 1056 1317 1756 2634 3512 4583 4829 5268 7024 9166 9658 10536 13749 14048 14487 18332 19316 21072 27498 28974 36664 38632 42144 50413 54996 57948 73328 77264 100826 109992 115896 146656 151239 154528 201652 219984 231792 302478 403304 439968 463584 604956 806608 1209912 1613216 2011937 2419824 4023874 4839648 6035811 8047748 12071622 16095496 22131307 24143244 32190992 44262614 48286488 64381984 66393921 88525228 96572976 132787842 177050456 193145952 265575684 354100912 531151368 708201824 1062302736 2124605472