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381471801104 = 241719792413877
BaseRepresentation
bin1011000110100010111…
…11011011111100010000
31100110122102111100022002
411203101133123330100
522222223240113404
6451125024333132
736363140544302
oct5432137337420
91313572440262
10381471801104
11137865983329
1261b221741a8
1329c84b61744
141466b55d972
159dc9ea6c1e
hex58d17dbf10

381471801104 has 160 divisors (see below), whose sum is σ = 837871372800. Its totient is φ = 167175290880.

The previous prime is 381471801091. The next prime is 381471801107. The reversal of 381471801104 is 401108174183.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (381471801107) 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, 98391614 + ... + 98395490.

It is an arithmetic number, because the mean of its divisors is an integer number (5236696080).

Almost surely, 2381471801104 is an apocalyptic number.

381471801104 is a gapful number since it is divisible by the number (34) 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 381471801104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418935686400).

381471801104 is an abundant number, since it is smaller than the sum of its proper divisors (456399571696).

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

381471801104 is a wasteful number, since it uses less digits than its factorization.

381471801104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

Adding to 381471801104 its reverse (401108174183), we get a palindrome (782579975287).

The spelling of 381471801104 in words is "three hundred eighty-one billion, four hundred seventy-one million, eight hundred one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 79 136 152 158 241 272 304 316 323 482 632 646 964 1264 1292 1343 1501 1928 2584 2686 3002 3856 3877 4097 4579 5168 5372 6004 7754 8194 9158 10744 12008 15508 16388 18316 19039 21488 24016 25517 31016 32776 36632 38078 51034 62032 65552 65909 73264 73663 76156 77843 102068 131818 147326 152312 155686 204136 263636 294652 304624 306283 311372 323663 361741 408272 527272 589304 612566 622744 647326 723482 934357 1054544 1178608 1225132 1245488 1252271 1294652 1446964 1868714 2450264 2504542 2589304 2893928 3737428 4900528 5009084 5178608 5206811 5787856 5819377 6149597 7474856 10018168 10413622 11638754 12299194 14949712 15884069 17752783 20036336 20827244 23277508 24598388 31768138 35505566 41654488 46555016 49196776 63536276 71011132 73814203 83308976 93110032 98393552 98929409 127072552 142022264 147628406 197858818 254145104 284044528 295256812 301797311 395717636 590513624 603594622 791435272 1181027248 1207189244 1254841451 1402469857 1582870544 2414378488 2509682902 2804939714 4828756976 5019365804 5609879428 10038731608 11219758856 20077463216 22439517712 23841987569 47683975138 95367950276 190735900552 381471801104