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3819077428516 = 22721395892
BaseRepresentation
bin110111100100110010110…
…000001110010100100100
3111112002201001221210112021
4313210302300032110210
51000032432310203031
612042243203232524
7542630204345200
oct67446260162444
914462631853467
103819077428516
111242730710919
125181b5378744
132191a2cb6acc
14d2bb6bcdb00
15695227b7511
hex37932c0e524

3819077428516 has 27 divisors (see below), whose sum is σ = 7774606175889. Its totient is φ = 1636735743888.

The previous prime is 3819077428501. The next prime is 3819077428559. The reversal of 3819077428516 is 6158247709183.

The square root of 3819077428516 is 1954246.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3301656166116 + 517421262400 = 1817046^2 + 719320^2 .

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 8 ways as a sum of consecutive naturals, for example, 27289650 + ... + 27429238.

It is a 1-persistent number, because it is pandigital, but 2⋅3819077428516 = 7638154857032 is not.

Almost surely, 23819077428516 is an apocalyptic number.

3819077428516 is the 1954246-th square number.

It is an amenable number.

3819077428516 is an abundant number, since it is smaller than the sum of its proper divisors (3955528747373).

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

3819077428516 is an frugal number, since it uses more digits than its factorization.

3819077428516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279196 (or 139598 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 3819077428516 in words is "three trillion, eight hundred nineteen billion, seventy-seven million, four hundred twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 139589 279178 558356 977123 1954246 3908492 6839861 13679722 27359444 19485088921 38970177842 77940355684 136395622447 272791244894 545582489788 954769357129 1909538714258 3819077428516