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4100112352 = 2578322657
BaseRepresentation
bin1111010001100010…
…1011111111100000
3101120202002021210001
43310120223333200
531344112043402
61514503345344
7203414244220
oct36430537740
911522067701
104100112352
111814452106
12965152254
135045a43ab
142ac774080
1518ee4d187
hexf462bfe0

4100112352 has 72 divisors (see below), whose sum is σ = 9341253936. Its totient is φ = 1735366656.

The previous prime is 4100112347. The next prime is 4100112389. The reversal of 4100112352 is 2532110014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1541808 + ... + 1544464.

It is an arithmetic number, because the mean of its divisors is an integer number (129739638).

Almost surely, 24100112352 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 4100112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670626968).

4100112352 is an abundant number, since it is smaller than the sum of its proper divisors (5241141584).

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

4100112352 is an equidigital number, since it uses as much as digits as its factorization.

4100112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 4100112352 is about 64032.1196900431. The cubic root of 4100112352 is about 1600.5352833998.

Adding to 4100112352 its reverse (2532110014), we get a palindrome (6632222366).

The spelling of 4100112352 in words is "four billion, one hundred million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2656 2657 4648 5314 6889 9296 10628 13778 18592 18599 21256 27556 37198 42512 48223 55112 74396 85024 96446 110224 148792 192892 220448 220531 297584 385784 441062 595168 771568 882124 1543136 1543717 1764248 3087434 3528496 6174868 7056992 12349736 18304073 24699472 36608146 49398944 73216292 128128511 146432584 256257022 292865168 512514044 585730336 1025028088 2050056176 4100112352