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3031132672 = 2979137547
BaseRepresentation
bin1011010010101011…
…0110101000000000
321211020121111100001
42310222312220000
522201432221142
61220435405344
7135054126331
oct26452665000
97736544301
103031132672
111315aa4927
12707153854
13393c94c39
1420a7cc288
1512b1935b7
hexb4ab6a00

3031132672 has 80 divisors (see below), whose sum is σ = 6189068160. Its totient is φ = 1482743808.

The previous prime is 3031132667. The next prime is 3031132697. The reversal of 3031132672 is 2762311303.

It is a self number, because there is not a number n which added to its sum of digits gives 3031132672.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5541103 + ... + 5541649.

It is an arithmetic number, because the mean of its divisors is an integer number (77363352).

Almost surely, 23031132672 is an apocalyptic number.

3031132672 is a gapful number since it is divisible by the number (32) 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 3031132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094534080).

3031132672 is an abundant number, since it is smaller than the sum of its proper divisors (3157935488).

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

3031132672 is an equidigital number, since it uses as much as digits as its factorization.

3031132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 3031132672 is about 55055.7233355443. The cubic root of 3031132672 is about 1447.2214204134.

Adding to 3031132672 its reverse (2762311303), we get a palindrome (5793443975).

The spelling of 3031132672 in words is "three billion, thirty-one million, one hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 79 128 137 158 256 274 316 512 547 548 632 1094 1096 1264 2188 2192 2528 4376 4384 5056 8752 8768 10112 10823 17504 17536 20224 21646 35008 35072 40448 43213 43292 70016 70144 74939 86426 86584 140032 149878 172852 173168 280064 299756 345704 346336 599512 691408 692672 1199024 1382816 1385344 2398048 2765632 2770688 4796096 5531264 5541376 5920181 9592192 11062528 11840362 19184384 22125056 23680724 38368768 47361448 94722896 189445792 378891584 757783168 1515566336 3031132672