Search a number
-
+
199439208804 = 2231122318613209
BaseRepresentation
bin1011100110111110000…
…0001101000101100100
3201001210021001112121010
42321233200031011210
511231422414140204
6231342054222220
720260201206153
oct2715740150544
9631707045533
10199439208804
1177644263500
123279b954970
1315a650a0c74
14991d82359a
1552c40edd89
hex2e6f80d164

199439208804 has 144 divisors (see below), whose sum is σ = 534202139520. Its totient is φ = 57759398400.

The previous prime is 199439208791. The next prime is 199439208851. The reversal of 199439208804 is 408802934991.

It is a super-2 number, since 2×1994392088042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62148352 + ... + 62151560.

It is an arithmetic number, because the mean of its divisors is an integer number (3709737080).

Almost surely, 2199439208804 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 199439208804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267101069760).

199439208804 is an abundant number, since it is smaller than the sum of its proper divisors (334762930716).

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

199439208804 is a wasteful number, since it uses less digits than its factorization.

199439208804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 199439208804 in words is "one hundred ninety-nine billion, four hundred thirty-nine million, two hundred eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 1861 2783 3036 3209 3722 5566 5583 6418 7444 8349 9627 11132 11166 12836 16698 19254 20471 22332 33396 35299 38508 40942 42803 61413 70598 73807 81884 85606 105897 122826 128409 141196 147614 171212 211794 221421 225181 245652 256818 295228 388289 423588 442842 450362 470833 513636 675543 776578 811877 885684 900724 941666 1164867 1351086 1412499 1553156 1623754 1883332 2329734 2435631 2702172 2824998 3247508 4659468 4871262 5179163 5649996 5971949 8930647 9742524 10358326 11943898 15537489 17861294 17915847 20716652 23887796 26791941 31074978 35722588 35831694 53583882 62149956 65691439 71663388 107167764 131382878 137354827 197074317 262765756 274709654 394148634 412064481 549419308 722605829 788297268 824128962 1445211658 1510903097 1648257924 2167817487 2890423316 3021806194 4335634974 4532709291 6043612388 8671269948 9065418582 16619934067 18130837164 33239868134 49859802201 66479736268 99719604402 199439208804