Search a number
-
+
3630269320020 = 2233572137198387
BaseRepresentation
bin110100110100111100111…
…010011100101101010100
3110212001100201012002221000
4310310330322130231110
5433434242421220040
611415420034223300
7523164313040400
oct64647472345524
913761321162830
103630269320020
11117a652432432
124a76a1a24b30
1320444359a955
14c79c5290100
1564671b89130
hex34d3ce9cb54

3630269320020 has 144 divisors (see below), whose sum is σ = 13138117634880. Its totient is φ = 829775838528.

The previous prime is 3630269320009. The next prime is 3630269320021. The reversal of 3630269320020 is 200239620363.

It is a happy number.

3630269320020 is a `hidden beast` number, since 3 + 6 + 302 + 6 + 9 + 320 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630269320021) 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 47 ways as a sum of consecutive naturals, for example, 68572734 + ... + 68625653.

It is an arithmetic number, because the mean of its divisors is an integer number (91236928020).

Almost surely, 23630269320020 is an apocalyptic number.

3630269320020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3630269320020 is an abundant number, since it is smaller than the sum of its proper divisors (9507848314860).

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

3630269320020 is a wasteful number, since it uses less digits than its factorization.

3630269320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137198419 (or 137198404 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 3630269320020 in words is "three trillion, six hundred thirty billion, two hundred sixty-nine million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 26460 137198387 274396774 411595161 548793548 685991935 823190322 960388709 1234785483 1371983870 1646380644 1920777418 2057975805 2469570966 2743967740 2881166127 3704356449 3841554836 4115951610 4801943545 4939141932 5762332254 6173927415 6722720963 7408712898 8231903220 8643498381 9603887090 11524664508 12347854830 13445441926 14405830635 14817425796 17286996762 18521782245 19207774180 20168162889 24695709660 25930495143 26890883852 28811661270 33613604815 34573993524 37043564490 40336325778 43217491905 51860990286 57623322540 60504488667 67227209630 74087128980 80672651556 86434983810 100840814445 103721980572 121008977334 129652475715 134454419260 172869967620 181513466001 201681628890 242017954668 259304951430 302522443335 363026932002 403363257780 518609902860 605044886670 726053864004 907567330005 1210089773340 1815134660010 3630269320020