Search a number
-
+
3800835025110 = 2325198212707321
BaseRepresentation
bin110111010011110011011…
…010111110100011010110
3111110100121201122200112200
4313103303122332203112
5444233102231300420
612030025101225330
7541413143440464
oct67236332764326
914410551580480
103800835025110
111235a1a314172
12514763b62246
132175567a3776
14d1d66103834
1568d05ecab90
hex374f36be8d6

3800835025110 has 96 divisors (see below), whose sum is σ = 10414959441120. Its totient is φ = 959041036800.

The previous prime is 3800835025103. The next prime is 3800835025153. The reversal of 3800835025110 is 115205380083.

3800835025110 is a `hidden beast` number, since 38 + 0 + 0 + 8 + 3 + 502 + 5 + 110 = 666.

It is a congruent number.

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, 50250 + ... + 2757570.

It is an arithmetic number, because the mean of its divisors is an integer number (108489160845).

Almost surely, 23800835025110 is an apocalyptic number.

3800835025110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800835025110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207479720560).

3800835025110 is an abundant number, since it is smaller than the sum of its proper divisors (6614124416010).

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

3800835025110 is a wasteful number, since it uses less digits than its factorization.

3800835025110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708174 (or 2708171 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 3800835025110 in words is "three trillion, eight hundred billion, eight hundred thirty-five million, twenty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 821 855 1642 1710 2463 4105 4926 7389 8210 12315 14778 15599 24630 31198 36945 46797 73890 77995 93594 140391 155990 233985 280782 467970 701955 1403910 2707321 5414642 8121963 13536605 16243926 24365889 27073210 40609815 48731778 51439099 81219630 102878198 121829445 154317297 243658890 257195495 308634594 462951891 514390990 771586485 925903782 1543172970 2222710541 2314759455 4445421082 4629518910 6668131623 11113552705 13336263246 20004394869 22227105410 33340658115 40008789738 42231500279 66681316230 84463000558 100021974345 126694500837 200043948690 211157501395 253389001674 380083502511 422315002790 633472504185 760167005022 1266945008370 1900417512555 3800835025110