Search a number
-
+
3845822809740 = 2235233722035667
BaseRepresentation
bin110111111101101100111…
…001110000011010001100
3111121122202000002221021020
4313331230321300122030
51001002221114402430
612102425133434140
7544565034341442
oct67755471603214
914548660087236
103845822809740
11125300579666a
1252141a33b950
1321b875cc8882
14d41d2cb2b92
156a08a804b10
hex37f6ce7068c

3845822809740 has 144 divisors (see below), whose sum is σ = 11548393420032. Its totient is φ = 954450503424.

The previous prime is 3845822809733. The next prime is 3845822809769. The reversal of 3845822809740 is 479082285483.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 871387 + ... + 2907053.

It is an arithmetic number, because the mean of its divisors is an integer number (80197176528).

Almost surely, 23845822809740 is an apocalyptic number.

3845822809740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3845822809740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774196710016).

3845822809740 is an abundant number, since it is smaller than the sum of its proper divisors (7702570610292).

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

3845822809740 is a wasteful number, since it uses less digits than its factorization.

3845822809740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035776 (or 2035737 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 3845822809740 in words is "three trillion, eight hundred forty-five billion, eight hundred twenty-two million, eight hundred nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 851 1110 1369 1380 1702 2220 2553 2738 3404 4107 4255 5106 5476 6845 8214 8510 10212 12765 13690 16428 17020 20535 25530 27380 31487 41070 51060 62974 82140 94461 125948 157435 188922 314870 377844 472305 629740 944610 1889220 2035667 4071334 6107001 8142668 10178335 12214002 20356670 24428004 30535005 40713340 46820341 61070010 75319679 93640682 122140020 140461023 150639358 187281364 225959037 234101705 280922046 301278716 376598395 451918074 468203410 561844092 702305115 753196790 903836148 936406820 1129795185 1404610230 1506393580 1732352617 2259590370 2786828123 2809220460 3464705234 4519180740 5197057851 5573656246 6929410468 8360484369 8661763085 10394115702 11147312492 13934140615 16720968738 17323526170 20788231404 25985289255 27868281230 33441937476 34647052340 41802421845 51970578510 55736562460 64097046829 83604843690 103941157020 128194093658 167209687380 192291140487 256388187316 320485234145 384582280974 640970468290 769164561948 961455702435 1281940936580 1922911404870 3845822809740