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1021066480768 = 27232914538231
BaseRepresentation
bin11101101101111000100…
…11100000110010000000
310121121112212201112022111
432312330103200302000
5113212121004341033
62101023234145104
7133524656612215
oct16667423406200
93547485645274
101021066480768
11364039455784
12145a81122194
13753948b9389
14375c4223b0c
151b860e467cd
hexedbc4e0c80

1021066480768 has 128 divisors (see below), whose sum is σ = 2197568620800. Its totient is φ = 471115223040.

The previous prime is 1021066480757. The next prime is 1021066480781. The reversal of 1021066480768 is 8670846601201.

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

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, 124047213 + ... + 124055443.

It is an arithmetic number, because the mean of its divisors is an integer number (17168504850).

Almost surely, 21021066480768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021066480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098784310400).

1021066480768 is an abundant number, since it is smaller than the sum of its proper divisors (1176502140032).

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

1021066480768 is a wasteful number, since it uses less digits than its factorization.

1021066480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 1021066480768 in words is "one trillion, twenty-one billion, sixty-six million, four hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 368 464 667 736 928 1334 1453 1472 1856 2668 2906 2944 3712 5336 5812 8231 10672 11624 16462 21344 23248 32924 33419 42137 42688 46496 65848 66838 84274 85376 92992 131696 133676 168548 185984 189313 238699 263392 267352 337096 378626 477398 526784 534704 674192 757252 954796 969151 1053568 1069408 1348384 1514504 1909592 1938302 2138816 2696768 3029008 3819184 3876604 4277632 5393536 5490077 6058016 7638368 7753208 10980154 11959643 12116032 15276736 15506416 21960308 23919286 24232064 30553472 31012832 43920616 47838572 62025664 87841232 95677144 124051328 175682464 191354288 275071789 346829647 351364928 382708576 550143578 693659294 702729856 765417152 1100287156 1387318588 1530834304 2200574312 2774637176 4401148624 5549274352 7977081881 8802297248 11098548704 15954163762 17604594496 22197097408 31908327524 35209188992 44394194816 63816655048 127633310096 255266620192 510533240384 1021066480768