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1670916816 = 24335965557
BaseRepresentation
bin110001110011000…
…0010101011010000
311022110010100222000
41203212002223100
511410223314231
6433445314000
756256362412
oct14346025320
94273110860
101670916816
11788209598
123a7705900
1320823599a
1411bcb49b2
159ba5b6e6
hex63982ad0

1670916816 has 80 divisors (see below), whose sum is σ = 4877515200. Its totient is φ = 547523712.

The previous prime is 1670916803. The next prime is 1670916817. The reversal of 1670916816 is 6186190761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670916817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7291 + ... + 58266.

It is an arithmetic number, because the mean of its divisors is an integer number (60968940).

Almost surely, 21670916816 is an apocalyptic number.

1670916816 is a gapful number since it is divisible by the number (16) 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 1670916816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438757600).

1670916816 is an abundant number, since it is smaller than the sum of its proper divisors (3206598384).

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

1670916816 is a wasteful number, since it uses less digits than its factorization.

1670916816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65633 (or 65621 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1670916816 is about 40876.8493893549. The cubic root of 1670916816 is about 1186.6380678767.

The spelling of 1670916816 in words is "one billion, six hundred seventy million, nine hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 6372 8496 12744 25488 65557 131114 196671 262228 393342 524456 590013 786684 1048912 1180026 1573368 1770039 2360052 3146736 3540078 3867863 4720104 7080156 7735726 9440208 11603589 14160312 15471452 23207178 28320624 30942904 34810767 46414356 61885808 69621534 92828712 104432301 139243068 185657424 208864602 278486136 417729204 556972272 835458408 1670916816