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6225212173008 = 2431038771435741
BaseRepresentation
bin101101010010110101110…
…0011110110101011010000
3211001010100201222022212010
41122211223203312223100
51303443213304014013
621123453433302520
71211520363253563
oct132455343665320
924033321868763
106225212173008
111a90108a87374
128465a2b64a40
1336205bb4242a
141774324c84da
15abdeaa407c3
hex5a96b8f6ad0

6225212173008 has 80 divisors (see below), whose sum is σ = 16256458714496. Its totient is φ = 2052579847680.

The previous prime is 6225212173007. The next prime is 6225212173027. The reversal of 6225212173008 is 8003712125226.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6225212173003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618018 + ... + 5053758.

Almost surely, 26225212173008 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 6225212173008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128229357248).

6225212173008 is an abundant number, since it is smaller than the sum of its proper divisors (10031246541488).

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

6225212173008 is a wasteful number, since it uses less digits than its factorization.

6225212173008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436732 (or 1436726 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 6225212173008 in words is "six trillion, two hundred twenty-five billion, two hundred twelve million, one hundred seventy-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 877 1236 1648 1754 2472 2631 3508 4944 5262 7016 10524 14032 21048 42096 90331 180662 270993 361324 541986 722648 1083972 1435741 1445296 2167944 2871482 4307223 4335888 5742964 8614446 11485928 17228892 22971856 34457784 68915568 147881323 295762646 443643969 591525292 887287938 1183050584 1259144857 1774575876 2366101168 2518289714 3549151752 3777434571 5036579428 7098303504 7554869142 10073158856 15109738284 20146317712 30219476568 60438953136 129691920271 259383840542 389075760813 518767681084 778151521626 1037535362168 1556303043252 2075070724336 3112606086504 6225212173008