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1483095294976 = 21019220032
BaseRepresentation
bin10101100101001111010…
…111100100010000000000
312020210010110110010221111
4111211033113210100000
5143244334343414401
63053154035133104
7212102325002161
oct25451727442000
95223113403844
101483095294976
11521a826a2299
121bb525744194
13a9b170aa279
1451ad44b5768
15288a3247e51
hex1594f5e4400

1483095294976 has 99 divisors (see below), whose sum is σ = 3130556836791. Its totient is φ = 702168090624.

The previous prime is 1483095294953. The next prime is 1483095294991. The reversal of 1483095294976 is 6794925903841.

The square root of 1483095294976 is 1217824.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 740435991 + ... + 740437993.

It is a 1-persistent number, because it is pandigital, but 2⋅1483095294976 = 2966190589952 is not.

Almost surely, 21483095294976 is an apocalyptic number.

1483095294976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1483095294976 is the 1217824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483095294976

1483095294976 is an abundant number, since it is smaller than the sum of its proper divisors (1647461541815).

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

1483095294976 is an frugal number, since it uses more digits than its factorization.

1483095294976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 1483095294976 in words is "one trillion, four hundred eighty-three billion, ninety-five million, two hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2003 2432 2888 4006 4864 5776 8012 9728 11552 16024 19456 23104 32048 38057 46208 64096 76114 92416 128192 152228 184832 256384 304456 369664 512768 608912 723083 1025536 1217824 1446166 2051072 2435648 2892332 4012009 4871296 5784664 8024018 9742592 11569328 16048036 19485184 23138656 32096072 38970368 46277312 64192144 76228171 92554624 128384288 152456342 185109248 256768576 304912684 370218496 513537152 609825368 740436992 1027074304 1219650736 1448335249 2054148608 2439301472 2896670498 4108297216 4878602944 5793340996 9757205888 11586681992 19514411776 23173363984 39028823552 46346727968 78057647104 92693455936 185386911872 370773823744 741547647488 1483095294976