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7012068028 = 2271944329753
BaseRepresentation
bin1101000011111001…
…11010101010111100
3200002200102222000021
412201330322222330
5103330042134103
63115444541524
7335523411010
oct64174725274
920080388007
107012068028
112a79147549
1214383b18a4
1387996cba4
144a73bc540
152b08eebbd
hex1a1f3aabc

7012068028 has 48 divisors (see below), whose sum is σ = 14796069120. Its totient is φ = 2840482944.

The previous prime is 7012067999. The next prime is 7012068031. The reversal of 7012068028 is 8208602107.

It is a junction number, because it is equal to n+sod(n) for n = 7012067984 and 7012068002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220800 + ... + 250552.

It is an arithmetic number, because the mean of its divisors is an integer number (308251440).

Almost surely, 27012068028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7012068028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398034560).

7012068028 is an abundant number, since it is smaller than the sum of its proper divisors (7784001092).

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

7012068028 is a wasteful number, since it uses less digits than its factorization.

7012068028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30226 (or 30224 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 7012068028 is about 83738.0918578875. The cubic root of 7012068028 is about 1914.0298519810.

The spelling of 7012068028 in words is "seven billion, twelve million, sixty-eight thousand, twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 443 532 886 1772 3101 6202 8417 12404 16834 29753 33668 58919 59506 117838 119012 208271 235676 416542 565307 833084 1130614 2261228 3957149 7914298 13180579 15828596 26361158 52722316 92264053 184528106 250431001 369056212 500862002 1001724004 1753017007 3506034014 7012068028