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219047862272 = 21351712
BaseRepresentation
bin1100110000000001000…
…1010010000000000000
3202221101211012100022212
43030000101102000000
512042102223043042
6244343523521252
721553132052111
oct3140021220000
9687354170285
10219047862272
1184996898038
1236552829228
131786b676cb5
14a85db58208
155a70815482
hex3300452000

219047862272 has 42 divisors (see below), whose sum is σ = 438153718179. Its totient is φ = 109502750720.

The previous prime is 219047862251. The next prime is 219047862317. The reversal of 219047862272 is 272268740912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 109523931136 + 109523931136 = 330944^2 + 330944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=330944.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 219047862272.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 42358247 + ... + 42363417.

Almost surely, 2219047862272 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 219047862272

219047862272 is an abundant number, since it is smaller than the sum of its proper divisors (219105855907).

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

219047862272 is an frugal number, since it uses more digits than its factorization.

219047862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

Multiplying 219047862272 by its sum of digits (50), we get a square (10952393113600 = 33094402).

The spelling of 219047862272 in words is "two hundred nineteen billion, forty-seven million, eight hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5171 8192 10342 20684 41368 82736 165472 330944 661888 1323776 2647552 5295104 10590208 21180416 26739241 42360832 53478482 106956964 213913928 427827856 855655712 1711311424 3422622848 6845245696 13690491392 27380982784 54761965568 109523931136 219047862272