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420456419216 = 2435374443417
BaseRepresentation
bin1100001111001010010…
…01111100111110010000
31111012021022221010200222
412013211021330332100
523342043320403331
6521053252132212
742243205411121
oct6074511747620
91435238833628
10420456419216
11152350761989
12695a2007068
133085874c702
14164c8d38048
15ae0c76eb7b
hex61e527cf90

420456419216 has 20 divisors (see below), whose sum is σ = 816942069132. Its totient is φ = 209632659456.

The previous prime is 420456419213. The next prime is 420456419221. The reversal of 420456419216 is 612914654024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150156250000 + 270300169216 = 387500^2 + 519904^2 .

It is not an unprimeable number, because it can be changed into a prime (420456419213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37216061 + ... + 37227356.

Almost surely, 2420456419216 is an apocalyptic number.

It is an amenable number.

420456419216 is a deficient number, since it is larger than the sum of its proper divisors (396485649916).

420456419216 is a wasteful number, since it uses less digits than its factorization.

420456419216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74443778 (or 74443772 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 420456419216 in words is "four hundred twenty billion, four hundred fifty-six million, four hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 353 706 1412 2824 5648 74443417 148886834 297773668 595547336 1191094672 26278526201 52557052402 105114104804 210228209608 420456419216