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3845998897128 = 2332613072852387
BaseRepresentation
bin110111111101110111011…
…001011110011111101000
3111121200012021110002202100
4313331313121132133220
51001003101204202003
612102454423533400
7544602303142653
oct67756731363750
914550167402670
103845998897128
111253096126733
125214692ba260
1321b8a362c8ab
14d420c42c89a
156a09aed8ba3
hex37f7765e7e8

3845998897128 has 96 divisors (see below), whose sum is σ = 10621494243360. Its totient is φ = 1256875367040.

The previous prime is 3845998897123. The next prime is 3845998897151. The reversal of 3845998897128 is 8217988995483.

3845998897128 is a `hidden beast` number, since 3 + 8 + 4 + 599 + 8 + 8 + 9 + 7 + 12 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3845998897123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77850 + ... + 2774537.

It is an arithmetic number, because the mean of its divisors is an integer number (110640565035).

Almost surely, 23845998897128 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 3845998897128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310747121680).

3845998897128 is an abundant number, since it is smaller than the sum of its proper divisors (6775495346232).

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

3845998897128 is a wasteful number, since it uses less digits than its factorization.

3845998897128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852767 (or 2852760 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 81.

The spelling of 3845998897128 in words is "three trillion, eight hundred forty-five billion, nine hundred ninety-eight million, eight hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 307 366 488 549 614 732 921 1098 1228 1464 1842 2196 2456 2763 3684 4392 5526 7368 11052 18727 22104 37454 56181 74908 112362 149816 168543 224724 337086 449448 674172 1348344 2852387 5704774 8557161 11409548 17114322 22819096 25671483 34228644 51342966 68457288 102685932 173995607 205371864 347991214 521986821 695982428 875682809 1043973642 1391964856 1565960463 1751365618 2087947284 2627048427 3131920926 3502731236 4175894568 5254096854 6263841852 7005462472 7881145281 10508193708 12527683704 15762290562 21016387416 31524581124 53416651349 63049162248 106833302698 160249954047 213666605396 320499908094 427333210792 480749862141 640999816188 961499724282 1281999632376 1922999448564 3845998897128