Search a number
-
+
1838481221376 = 2833614360393
BaseRepresentation
bin11010110000001110000…
…001010010011100000000
320111202102220202202101000
4122300032001102130000
5220110202143041001
63524330413012000
7246553164352602
oct32601601223400
96452386682330
101838481221376
116497717a1888
12258387784000
131044a275bc97
1464da9389172
1532c53036a86
hex1ac0e052700

1838481221376 has 144 divisors (see below), whose sum is σ = 5525840108320. Its totient is φ = 602780590080.

The previous prime is 1838481221351. The next prime is 1838481221387. The reversal of 1838481221376 is 6731221848381.

1838481221376 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 48 + 1 + 221 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758565 + ... + 2601828.

Almost surely, 21838481221376 is an apocalyptic number.

1838481221376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1838481221376 is an abundant number, since it is smaller than the sum of its proper divisors (3687358886944).

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

1838481221376 is an equidigital number, since it uses as much as digits as its factorization.

1838481221376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360479 (or 4360459 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 1838481221376 in words is "one trillion, eight hundred thirty-eight billion, four hundred eighty-one million, two hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 549 576 732 768 864 976 1098 1152 1464 1647 1728 1952 2196 2304 2928 3294 3456 3904 4392 5856 6588 6912 7808 8784 11712 13176 15616 17568 23424 26352 35136 46848 52704 70272 105408 140544 210816 421632 4360393 8720786 13081179 17441572 26162358 34883144 39243537 52324716 69766288 78487074 104649432 117730611 139532576 156974148 209298864 235461222 265983973 279065152 313948296 418597728 470922444 531967946 558130304 627896592 797951919 837195456 941844888 1063935892 1116260608 1255793184 1595903838 1674390912 1883689776 2127871784 2393855757 2511586368 3191807676 3348781824 3767379552 4255743568 4787711514 5023172736 6383615352 7181567271 7534759104 8511487136 9575423028 10046345472 12767230704 14363134542 15069518208 17022974272 19150846056 25534461408 28726269084 30139036416 34045948544 38301692112 51068922816 57452538168 68091897088 76603384224 102137845632 114905076336 153206768448 204275691264 229810152672 306413536896 459620305344 612827073792 919240610688 1838481221376