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6631807644 = 223271117140731
BaseRepresentation
bin1100010110100100…
…10101101010011100
3122010011220201211100
412023102111222130
5102040220321034
63014022353100
7323225302110
oct61322255234
918104821740
106631807644
1128a3534270
121350b8b790
13818c50347
1446cab5740
1528c33a099
hex18b495a9c

6631807644 has 144 divisors (see below), whose sum is σ = 22129825536. Its totient is φ = 1621209600.

The previous prime is 6631807639. The next prime is 6631807657. The reversal of 6631807644 is 4467081366.

It is a happy number.

6631807644 is a `hidden beast` number, since 6 + 631 + 8 + 0 + 7 + 6 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6631807644.

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, 23242 + ... + 117489.

It is an arithmetic number, because the mean of its divisors is an integer number (153679344).

Almost surely, 26631807644 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 6631807644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064912768).

6631807644 is an abundant number, since it is smaller than the sum of its proper divisors (15498017892).

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

6631807644 is a wasteful number, since it uses less digits than its factorization.

6631807644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140776 (or 140771 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6631807644 is about 81435.9112676957. The cubic root of 6631807644 is about 1878.7859639624.

The spelling of 6631807644 in words is "six billion, six hundred thirty-one million, eight hundred seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124 140731 281462 422193 562924 844386 985117 1266579 1548041 1688772 1970234 2392427 2533158 2955351 3096082 3940468 4644123 4784854 5066316 5910702 6192164 7177281 8866053 9288246 9569708 10836287 11821404 13932369 14354562 16746989 17732106 18576492 21531843 21672574 26316697 27864738 28709124 32508861 33493978 35464212 43063686 43345148 50240967 52633394 55729476 65017722 66987956 78950091 86127372 97526583 100481934 105266788 130035444 150722901 157900182 184216879 195053166 200963868 236850273 301445802 315800364 368433758 390106332 473700546 552650637 602891604 736867516 947401092 1105301274 1657951911 2210602548 3315903822 6631807644