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1346750966016 = 283480592
BaseRepresentation
bin10011100110010000100…
…111001110100100000000
311202202012101112121010000
4103212100213032210000
5134031121221403031
62510404443040000
7166204513222011
oct23462047164400
94682171477100
101346750966016
1147a1768a0995
12199014210000
1399cc89bab41
144927c5a9008
15250734333e6
hex139909ce900

1346750966016 has 135 divisors (see below), whose sum is σ = 4016266055571. Its totient is φ = 448861284864.

The previous prime is 1346750965997. The next prime is 1346750966023. The reversal of 1346750966016 is 6106690576431.

It is a happy number.

The square root of 1346750966016 is 1160496.

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

1346750966016 is a `hidden beast` number, since 1 + 3 + 4 + 67 + 509 + 6 + 60 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 167107395 + ... + 167115453.

Almost surely, 21346750966016 is an apocalyptic number.

1346750966016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1346750966016 is the 1160496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346750966016

1346750966016 is an abundant number, since it is smaller than the sum of its proper divisors (2669515089555).

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

1346750966016 is an frugal number, since it uses more digits than its factorization.

1346750966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16146 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1346750966016 in words is "one trillion, three hundred forty-six billion, seven hundred fifty million, nine hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 8059 10368 16118 20736 24177 32236 48354 64472 72531 96708 128944 145062 193416 217593 257888 290124 386832 435186 515776 580248 652779 773664 870372 1031552 1160496 1305558 1547328 1740744 2063104 2320992 2611116 3094656 3481488 4641984 5222232 6189312 6962976 9283968 10444464 13925952 18567936 20888928 27851904 41777856 55703808 64947481 83555712 129894962 167111424 194842443 259789924 389684886 519579848 584527329 779369772 1039159696 1169054658 1558739544 1753581987 2078319392 2338109316 3117479088 3507163974 4156638784 4676218632 5260745961 6234958176 7014327948 8313277568 9352437264 10521491922 12469916352 14028655896 16626555136 18704874528 21042983844 24939832704 28057311792 37409749056 42085967688 49879665408 56114623584 74819498112 84171935376 112229247168 149638996224 168343870752 224458494336 336687741504 448916988672 673375483008 1346750966016