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1682217966 = 23111317115331
BaseRepresentation
bin110010001000100…
…1001101111101110
311100020101112020010
41210101021233232
511421121433331
6434531434050
756454421362
oct14421115756
94306345203
101682217966
11793628290
123ab455926
1320a691860
1411d5b72a2
159ca3ee46
hex64449bee

1682217966 has 64 divisors (see below), whose sum is σ = 4185167616. Its totient is φ = 442867200.

The previous prime is 1682217947. The next prime is 1682217989. The reversal of 1682217966 is 6697122861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43080 + ... + 72251.

It is an arithmetic number, because the mean of its divisors is an integer number (65393244).

Almost surely, 21682217966 is an apocalyptic number.

1682217966 is an abundant number, since it is smaller than the sum of its proper divisors (2502949650).

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

1682217966 is a wasteful number, since it uses less digits than its factorization.

1682217966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115377.

The product of its digits is 435456, while the sum is 48.

The square root of 1682217966 is about 41014.8505544029. The cubic root of 1682217966 is about 1189.3073119569.

The spelling of 1682217966 in words is "one billion, six hundred eighty-two million, two hundred seventeen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 4862 7293 14586 115331 230662 345993 691986 1268641 1499303 1960627 2537282 2998606 3805923 3921254 4497909 5881881 7611846 8995818 11763762 16492333 21566897 25488151 32984666 43133794 49476999 50976302 64700691 76464453 98953998 129401382 152928906 280369661 560739322 841108983 1682217966