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205984312743 = 31117221598439
BaseRepresentation
bin1011111111010110011…
…1110010110110100111
3201200200101211021022010
42333311213302312213
511333323441001433
6234343342405303
720611324524636
oct2776547626647
9650611737263
10205984312743
117a3a2857a10
1233b07890833
1316569084831
149d80ba951d
155558a0de63
hex2ff59f2da7

205984312743 has 24 divisors (see below), whose sum is σ = 318274611840. Its totient is φ = 117495502720.

The previous prime is 205984312739. The next prime is 205984312753. The reversal of 205984312743 is 347213489502.

It is not a de Polignac number, because 205984312743 - 22 = 205984312739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205984312692 and 205984312701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205984312753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10789683 + ... + 10808756.

It is an arithmetic number, because the mean of its divisors is an integer number (13261442160).

Almost surely, 2205984312743 is an apocalyptic number.

205984312743 is a deficient number, since it is larger than the sum of its proper divisors (112290299097).

205984312743 is a wasteful number, since it uses less digits than its factorization.

205984312743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21598487 (or 21598470 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 205984312743 in words is "two hundred five billion, nine hundred eighty-four million, three hundred twelve thousand, seven hundred forty-three".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 21598439 64795317 237582829 367173463 712748487 1101520389 4038908093 6241948871 12116724279 18725846613 68661437581 205984312743