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216112675897216 = 2772111621705191
BaseRepresentation
bin110001001000110110100111…
…010001110011111110000000
31001100012011120221222111120101
4301020312213101303332000
5211311242230012202331
62043344443121052144
763343424400552340
oct6110664721637600
91040164527874511
10216112675897216
116295096455302a
12202a4101a87054
13937845146bb07
143b51ca3282d20
1519eb8bee36061
hexc48da7473f80

216112675897216 has 128 divisors (see below), whose sum is σ = 494679889451520. Its totient is φ = 92123764992000.

The previous prime is 216112675897199. The next prime is 216112675897241. The reversal of 216112675897216 is 612798576211612.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306107181 + ... + 306812371.

It is an arithmetic number, because the mean of its divisors is an integer number (3864686636340).

Almost surely, 2216112675897216 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 216112675897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247339944725760).

216112675897216 is an abundant number, since it is smaller than the sum of its proper divisors (278567213554304).

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

216112675897216 is a wasteful number, since it uses less digits than its factorization.

216112675897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707044 (or 707032 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 64.

The spelling of 216112675897216 in words is "two hundred sixteen trillion, one hundred twelve billion, six hundred seventy-five million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 211 224 422 448 844 896 1477 1621 1688 2954 3242 3376 5908 6484 6752 11347 11816 12968 13504 22694 23632 25936 27008 45388 47264 51872 90776 94528 103744 181552 189056 207488 342031 363104 684062 705191 726208 1368124 1410382 1452416 2394217 2736248 2820764 4788434 4936337 5472496 5641528 9576868 9872674 10944992 11283056 19153736 19745348 21889984 22566112 38307472 39490696 43779968 45132224 76614944 78981392 90264448 148795301 153229888 157962784 297590602 306459776 315925568 595181204 631851136 1041567107 1143114611 1190362408 2083134214 2286229222 2380724816 4166268428 4572458444 4761449632 8001802277 8332536856 9144916888 9522899264 16003604554 16665073712 18289833776 19045798528 32007209108 33330147424 36579667552 64014418216 66660294848 73159335104 128028836432 133320589696 146318670208 241197182921 256057672864 482394365842 512115345728 964788731684 1024230691456 1688380280447 1929577463368 3376760560894 3859154926736 6753521121788 7718309853472 13507042243576 15436619706944 27014084487152 30873239413888 54028168974304 108056337948608 216112675897216