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1983603816216 = 2333111807746183
BaseRepresentation
bin11100110111011000000…
…000000011011100011000
321000122000202112102012000
4130313120000003130120
5224444410034104331
64115131025521000
7263211360146001
oct34673000033430
97018022472160
101983603816216
116a5272707280
12280528aa3160
1311508c6a4889
146c01506c1a8
15368e88290e6
hex1cdd8003718

1983603816216 has 128 divisors (see below), whose sum is σ = 6011383334400. Its totient is φ = 601045799040.

The previous prime is 1983603816199. The next prime is 1983603816217. The reversal of 1983603816216 is 6126183063891.

1983603816216 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 6 + 0 + 3 + 8 + 1 + 621 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983603816217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42927861 + ... + 42974043.

It is an arithmetic number, because the mean of its divisors is an integer number (46963932300).

Almost surely, 21983603816216 is an apocalyptic number.

It is an amenable number.

1983603816216 is an abundant number, since it is smaller than the sum of its proper divisors (4027779518184).

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

1983603816216 is a wasteful number, since it uses less digits than its factorization.

1983603816216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64286 (or 64276 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1983603816216 in words is "one trillion, nine hundred eighty-three billion, six hundred three million, eight hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 18077 36154 46183 54231 72308 92366 108462 138549 144616 162693 184732 198847 216924 277098 325386 369464 397694 415647 433848 488079 508013 554196 596541 650772 795388 831294 976158 1016026 1108392 1193082 1246941 1301544 1524039 1590776 1662588 1789623 1952316 2032052 2386164 2493882 3048078 3325176 3579246 3904632 4064104 4572117 4772328 4987764 5368869 6096156 7158492 9144234 9975528 10737738 12192312 13716351 14316984 18288468 21475476 27432702 36576936 42950952 54865404 109730808 834850091 1669700182 2504550273 3339400364 5009100546 6678800728 7513650819 9183351001 10018201092 15027301638 18366702002 20036402184 22540952457 27550053003 30054603276 36733404004 45081904914 55100106006 60109206552 73466808008 82650159009 90163809828 110200212012 165300318018 180327619656 220400424024 247950477027 330600636036 495900954054 661201272072 991801908108 1983603816216