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68801664 = 2731391289
BaseRepresentation
bin1000001100111…
…01010010000000
311210110111010210
410012131102000
5120103123124
610454354120
71463542641
oct406352200
9153414123
1068801664
1135922788
121b05b940
131133c259
1491cd6c8
156090a29
hex419d480

68801664 has 64 divisors (see below), whose sum is σ = 184212000. Its totient is φ = 22751232.

The previous prime is 68801651. The next prime is 68801713. The reversal of 68801664 is 46610886.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52732 + ... + 54020.

Almost surely, 268801664 is an apocalyptic number.

68801664 is a gapful number since it is divisible by the number (64) 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 68801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92106000).

68801664 is an abundant number, since it is smaller than the sum of its proper divisors (115410336).

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

68801664 is a wasteful number, since it uses less digits than its factorization.

68801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68801664 is about 8294.6768472316. The cubic root of 68801664 is about 409.7632263679.

The spelling of 68801664 in words is "sixty-eight million, eight hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1289 1668 2224 2578 3336 3867 4448 5156 6672 7734 8896 10312 13344 15468 17792 20624 26688 30936 41248 53376 61872 82496 123744 164992 179171 247488 358342 494976 537513 716684 1075026 1433368 2150052 2866736 4300104 5733472 8600208 11466944 17200416 22933888 34400832 68801664