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1813031944464 = 24313103108725951
BaseRepresentation
bin11010011000100001001…
…000000000000100010000
320102022202022110112111110
4122120201020000010100
5214201042134210324
63504521222413320
7244662423153156
oct32304110000420
96368668415443
101813031944464
116399a22a3424
12253464891240
13101c7811cc50
1463a734913d6
1532263bba329
hex1a621200110

1813031944464 has 160 divisors (see below), whose sum is σ = 5097799942144. Its totient is φ = 551910412800.

The previous prime is 1813031944463. The next prime is 1813031944483. The reversal of 1813031944464 is 4644491303181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1813031944463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69850689 + ... + 69876639.

Almost surely, 21813031944464 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 1813031944464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548899971072).

1813031944464 is an abundant number, since it is smaller than the sum of its proper divisors (3284767997680).

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

1813031944464 is a wasteful number, since it uses less digits than its factorization.

1813031944464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27165 (or 27159 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1813031944464 in words is "one trillion, eight hundred thirteen billion, thirty-one million, nine hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 824 1087 1236 1339 1648 2174 2472 2678 3261 4017 4348 4944 5356 6522 8034 8696 10712 13044 14131 16068 17392 21424 25951 26088 28262 32136 42393 51902 52176 56524 64272 77853 84786 103804 111961 113048 155706 169572 207608 223922 226096 311412 335883 337363 339144 415216 447844 622824 671766 674726 678288 895688 1012089 1245648 1343532 1349452 1455493 1791376 2024178 2672953 2687064 2698904 2910986 4048356 4366479 5345906 5374128 5397808 5821972 8018859 8096712 8732958 10691812 11643944 16037718 16193424 17465916 21383624 23287888 28208737 32075436 34748389 34931832 42767248 56417474 64150872 69496778 69863664 84626211 104245167 112834948 128301744 138993556 169252422 208490334 225669896 277987112 338504844 366713581 416980668 451339792 555974224 677009688 733427162 833961336 1100140743 1354019376 1466854324 1667922672 2200281486 2905499911 2933708648 4400562972 5810999822 5867417296 8716499733 8801125944 11621999644 17432999466 17602251888 23243999288 34865998932 37771498843 46487998576 69731997864 75542997686 113314496529 139463995728 151085995372 226628993058 302171990744 453257986116 604343981488 906515972232 1813031944464