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216051102267776 = 2717939019241667
BaseRepresentation
bin110001000111111101010001…
…001101000011100110000000
31001022222021122210100001001022
4301013331101031003212000
5211304240124140032101
62043300301200325012
763336114502415606
oct6107752115034600
91038867583301038
10216051102267776
1162927837875976
1220294199013768
1393726ba9acb59
143b4cd01801876
1519e9eb9492a1b
hexc47f51343980

216051102267776 has 64 divisors (see below), whose sum is σ = 432831738024000. Its totient is φ = 107418858871296.

The previous prime is 216051102267761. The next prime is 216051102267797. The reversal of 216051102267776 is 677762201150612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2160511022677762 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893882495 + ... + 894124161.

It is an arithmetic number, because the mean of its divisors is an integer number (6762995906625).

Almost surely, 2216051102267776 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 216051102267776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216415869012000).

216051102267776 is an abundant number, since it is smaller than the sum of its proper divisors (216780635756224).

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

216051102267776 is a wasteful number, since it uses less digits than its factorization.

216051102267776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280879 (or 280867 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 216051102267776 in words is "two hundred sixteen trillion, fifty-one billion, one hundred two million, two hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1432 2864 5728 11456 22912 39019 78038 156076 241667 312152 483334 624304 966668 1248608 1933336 2497216 3866672 4994432 6984401 7733344 13968802 15466688 27937604 30933376 43258393 55875208 86516786 111750416 173033572 223500832 346067144 447001664 692134288 894003328 1384268576 2768537152 5537074304 9429604673 18859209346 37718418692 75436837384 150873674768 301747349536 603494699072 1206989398144 1687899236467 3375798472934 6751596945868 13503193891736 27006387783472 54012775566944 108025551133888 216051102267776