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3806799041136 = 2437131562955763
BaseRepresentation
bin110111011001010110111…
…001111001001001110000
3111110221000101000002111010
4313121112321321021300
5444332311023304021
612032452550550520
7542014012645350
oct67312671711160
914427011002433
103806799041136
1112384aa8a7733
12515949368440
13217c97280930
14d2370226b60
15690548a6976
hex37656e79270

3806799041136 has 160 divisors (see below), whose sum is σ = 12104660252160. Its totient is φ = 1003908713472.

The previous prime is 3806799041131. The next prime is 3806799041189. The reversal of 3806799041136 is 6311409976083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806799041131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68239591 + ... + 68295353.

It is an arithmetic number, because the mean of its divisors is an integer number (75654126576).

Almost surely, 23806799041136 is an apocalyptic number.

It is an amenable number.

3806799041136 is an abundant number, since it is smaller than the sum of its proper divisors (8297861211024).

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

3806799041136 is a wasteful number, since it uses less digits than its factorization.

3806799041136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71423 (or 71417 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 3806799041136 in words is "three trillion, eight hundred six billion, seven hundred ninety-nine million, forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 15629 31258 46887 55763 62516 93774 109403 111526 125032 167289 187548 203177 218806 223052 250064 328209 334578 375096 390341 406354 437612 446104 609531 656418 669156 724919 750192 780682 812708 875224 892208 1171023 1219062 1312836 1338312 1422239 1449838 1561364 1625416 1750448 2174757 2342046 2438124 2625672 2676624 2844478 2899676 3122728 3250832 4266717 4349514 4684092 4876248 5074433 5251344 5688956 5799352 6245456 8533434 8699028 9368184 9752496 10148866 11377912 11598704 15223299 17066868 17398056 18736368 20297732 22755824 30446598 34133736 34796112 40595464 60893196 68267472 81190928 121786392 243572784 871519927 1743039854 2614559781 3486079708 5229119562 6100639489 6972159416 10458239124 11329759051 12201278978 13944318832 18301918467 20916478248 22659518102 24402557956 33989277153 36603836934 41832956496 45319036204 48805115912 67978554306 73207673868 79308313357 90638072408 97610231824 135957108612 146415347736 158616626714 181276144816 237924940071 271914217224 292830695472 317233253428 475849880142 543828434448 634466506856 951699760284 1268933013712 1903399520568 3806799041136