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3097066256000 = 27531729338861
BaseRepresentation
bin101101000100010111100…
…010001011011010000000
3101222002001212112222111122
4231010113202023122000
5401220242430143000
610330434514131412
7436520121551063
oct55042742133200
911862055488448
103097066256000
11a94505185562
12420295280b68
1319608a5b5742
14a9c8247a8da
1555866126085
hex2d11788b680

3097066256000 has 256 divisors, whose sum is σ = 8181063465120. Its totient is φ = 1161945088000.

The previous prime is 3097066255979. The next prime is 3097066256027. The reversal of 3097066256000 is 6526607903.

It can be written as a sum of positive squares in 16 ways, for example, as 525764209216 + 2571302046784 = 725096^2 + 1603528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79676570 + ... + 79715430.

Almost surely, 23097066256000 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 3097066256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090531732560).

3097066256000 is an abundant number, since it is smaller than the sum of its proper divisors (5083997209120).

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

3097066256000 is a wasteful number, since it uses less digits than its factorization.

3097066256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39200 (or 39178 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 3097066256000 in words is "three trillion, ninety-seven billion, sixty-six million, two hundred fifty-six thousand".