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3999853104 = 2431331120611
BaseRepresentation
bin1110111001101000…
…1110101000110000
3101022202102120221120
43232122032220300
531142430244404
61500522422240
7201056122212
oct35632165060
911282376846
103999853104
1117728a3925
12937661980
134b989c8b0
1429d3165b2
151862469d9
hexee68ea30

3999853104 has 80 divisors (see below), whose sum is σ = 11164118784. Its totient is φ = 1226707200.

The previous prime is 3999853097. The next prime is 3999853127. The reversal of 3999853104 is 4013589993.

It is a happy number.

3999853104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 183759 + ... + 204369.

Almost surely, 23999853104 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 3999853104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582059392).

3999853104 is an abundant number, since it is smaller than the sum of its proper divisors (7164265680).

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

3999853104 is a wasteful number, since it uses less digits than its factorization.

3999853104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20946 (or 20940 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 3999853104 is about 63244.3918778574. The cubic root of 3999853104 is about 1587.3816198249.

The spelling of 3999853104 in words is "three billion, nine hundred ninety-nine million, eight hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 311 312 622 624 933 1244 1866 2488 3732 4043 4976 7464 8086 12129 14928 16172 20611 24258 32344 41222 48516 61833 64688 82444 97032 123666 164888 194064 247332 267943 329776 494664 535886 803829 989328 1071772 1607658 2143544 3215316 4287088 6410021 6430632 12820042 12861264 19230063 25640084 38460126 51280168 76920252 83330273 102560336 153840504 166660546 249990819 307681008 333321092 499981638 666642184 999963276 1333284368 1999926552 3999853104