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3797450284160 = 275131726848489
BaseRepresentation
bin110111010000101001101…
…011001101110010000000
3111110000212211200000211202
4313100221223031302000
5444204134233043120
612024305150400332
7541233233555201
oct67205153156200
914400784600752
103797450284160
1112345427601a5
12513b7a5000a8
13217137491180
14d1b247895a8
1568ba8c89875
hex37429acdc80

3797450284160 has 128 divisors (see below), whose sum is σ = 10351703804400. Its totient is φ = 1319656882176.

The previous prime is 3797450284157. The next prime is 3797450284237. The reversal of 3797450284160 is 614820547973.

It can be written as a sum of positive squares in 8 ways, for example, as 842709312064 + 2954740972096 = 917992^2 + 1718936^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3797450284096 and 3797450284105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13282805 + ... + 13565684.

It is a 1-persistent number, because it is pandigital, but 2⋅3797450284160 = 7594900568320 is not.

Almost surely, 23797450284160 is an apocalyptic number.

It is an amenable number.

3797450284160 is an abundant number, since it is smaller than the sum of its proper divisors (6554253520240).

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

3797450284160 is a wasteful number, since it uses less digits than its factorization.

3797450284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26848538 (or 26848526 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 3797450284160 in words is "three trillion, seven hundred ninety-seven billion, four hundred fifty million, two hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 260 272 320 340 416 442 520 544 640 680 832 884 1040 1088 1105 1360 1664 1768 2080 2176 2210 2720 3536 4160 4420 5440 7072 8320 8840 10880 14144 17680 28288 35360 70720 141440 26848489 53696978 107393956 134242445 214787912 268484890 349030357 429575824 456424313 536969780 698060714 859151648 912848626 1073939560 1396121428 1718303296 1745151785 1825697252 2147879120 2282121565 2792242856 3436606592 3490303570 3651394504 4295758240 4564243130 5584485712 5933516069 6980607140 7302789008 8591516480 9128486260 11168971424 11867032138 13961214280 14605578016 17183032960 18256972520 22337942848 23734064276 27922428560 29211156032 29667580345 36513945040 44675885696 47468128552 55844857120 58422312064 59335160690 73027890080 94936257104 111689714240 118670321380 146055780160 189872514208 223379428480 237340642760 292111560320 379745028416 474681285520 759490056832 949362571040 1898725142080 3797450284160