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1668672192 = 263111734567
BaseRepresentation
bin110001101110101…
…1110101011000000
311022021220022220210
41203131132223000
511404140002232
6433325234120
756231323335
oct14335365300
94267808823
101668672192
11786a16130
123a6a02940
1320792b0c5
1411b88c98c
159b7665cc
hex6375eac0

1668672192 has 112 divisors (see below), whose sum is σ = 4845295872. Its totient is φ = 502625280.

The previous prime is 1668672167. The next prime is 1668672199. The reversal of 1668672192 is 2912768661.

1668672192 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1668672199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363093 + ... + 367659.

Almost surely, 21668672192 is an apocalyptic number.

1668672192 is a gapful number since it is divisible by the number (12) 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 1668672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422647936).

1668672192 is an abundant number, since it is smaller than the sum of its proper divisors (3176623680).

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

1668672192 is a wasteful number, since it uses less digits than its factorization.

1668672192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4756 counting only the distinct ones).

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

The square root of 1668672192 is about 40849.3842303651. The cubic root of 1668672192 is about 1186.1064735155.

The spelling of 1668672192 in words is "one billion, six hundred sixty-eight million, six hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 173 176 192 264 346 352 519 528 692 704 1038 1056 1384 1903 2076 2112 2768 3806 4152 4567 5536 5709 7612 8304 9134 11072 11418 13701 15224 16608 18268 22836 27402 30448 33216 36536 45672 50237 54804 60896 73072 91344 100474 109608 121792 146144 150711 182688 200948 219216 292288 301422 365376 401896 438432 602844 790091 803792 876864 1205688 1580182 1607584 2370273 2411376 3160364 3215168 4740546 4822752 6320728 8691001 9481092 9645504 12641456 17382002 18962184 25282912 26073003 34764004 37924368 50565824 52146006 69528008 75848736 104292012 139056016 151697472 208584024 278112032 417168048 556224064 834336096 1668672192