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1683248868 = 2232713150989
BaseRepresentation
bin110010001010100…
…0101011011100100
311100022022220100200
41210111011123210
511421402430433
6435005510500
756466244050
oct14425053344
94308286320
101683248868
11794171874
123ab872430
1320a962b62
1411d7a4c60
159cb95613
hex645456e4

1683248868 has 72 divisors (see below), whose sum is σ = 4899935040. Its totient is φ = 477247680.

The previous prime is 1683248851. The next prime is 1683248869. The reversal of 1683248868 is 8688423861.

It is not an unprimeable number, because it can be changed into a prime (1683248869) 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, 7518 + ... + 58506.

Almost surely, 21683248868 is an apocalyptic number.

1683248868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683248868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449967520).

1683248868 is an abundant number, since it is smaller than the sum of its proper divisors (3216686172).

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

1683248868 is a wasteful number, since it uses less digits than its factorization.

1683248868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51137 (or 51132 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 1683248868 is about 41027.4160531711. The cubic root of 1683248868 is about 1189.5502073375.

The spelling of 1683248868 in words is "one billion, six hundred eighty-three million, two hundred forty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2751 3668 4716 5502 8253 11004 16506 33012 50989 101978 152967 203956 305934 356923 458901 611868 713846 917802 1070769 1427692 1835604 2141538 3212307 4283076 6424614 6679559 12849228 13359118 20038677 26718236 40077354 46756913 60116031 80154708 93513826 120232062 140270739 187027652 240464124 280541478 420812217 561082956 841624434 1683248868