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4099199004 = 22321926322787
BaseRepresentation
bin1111010001010100…
…1101000000011100
3101120200100212220100
43310111031000130
531343343332004
61514432021100
7203403421335
oct36425150034
911520325810
104099199004
11181398897a
12964991790
13504344754
142ac5b728c
1518ed1c739
hexf454d01c

4099199004 has 72 divisors (see below), whose sum is σ = 10949178240. Its totient is φ = 1289505312.

The previous prime is 4099198979. The next prime is 4099199009. The reversal of 4099199004 is 4009919904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4099199009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168499 + ... + 191285.

It is an arithmetic number, because the mean of its divisors is an integer number (152071920).

Almost surely, 24099199004 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 4099199004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474589120).

4099199004 is an abundant number, since it is smaller than the sum of its proper divisors (6849979236).

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

4099199004 is a wasteful number, since it uses less digits than its factorization.

4099199004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23079 (or 23074 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 4099199004 is about 64024.9873408812. The cubic root of 4099199004 is about 1600.4164285868.

It can be divided in two parts, 409919900 and 4, that added together give a palindrome (409919904).

The spelling of 4099199004 in words is "four billion, ninety-nine million, one hundred ninety-nine thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 263 342 526 684 789 1052 1578 2367 3156 4734 4997 9468 9994 14991 19988 22787 29982 44973 45574 59964 68361 89946 91148 136722 179892 205083 273444 410166 432953 820332 865906 1298859 1731812 2597718 3896577 5195436 5992981 7793154 11985962 15586308 17978943 23971924 35957886 53936829 71915772 107873658 113866639 215747316 227733278 341599917 455466556 683199834 1024799751 1366399668 2049599502 4099199004