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4212723712 = 212732193
BaseRepresentation
bin1111101100011001…
…0001000000000000
3101212120222112112011
43323012101000000
532111424124322
61534005142304
7206252363221
oct37306210000
911776875464
104212723712
111871a7774a
129969ba994
13521a12232
142bd6c9248
15199c94677
hexfb191000

4212723712 has 78 divisors (see below), whose sum is σ = 8585658762. Its totient is φ = 2066743296.

The previous prime is 4212723673. The next prime is 4212723721. The reversal of 4212723712 is 2173272124.

It can be written as a sum of positive squares in 3 ways, for example, as 429981696 + 3782742016 = 20736^2 + 61504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21827488 + ... + 21827680.

Almost surely, 24212723712 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 4212723712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292829381).

4212723712 is an abundant number, since it is smaller than the sum of its proper divisors (4372935050).

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

4212723712 is an frugal number, since it uses more digits than its factorization.

4212723712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 268 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 4212723712 is about 64905.4983187095. The cubic root of 4212723712 is about 1615.0562734755.

Adding to 4212723712 its reverse (2173272124), we get a palindrome (6385995836).

The spelling of 4212723712 in words is "four billion, two hundred twelve million, seven hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 128 146 193 256 292 386 512 584 772 1024 1168 1544 2048 2336 3088 4096 4672 5329 6176 9344 10658 12352 14089 18688 21316 24704 28178 37376 42632 49408 56356 74752 85264 98816 112712 149504 170528 197632 225424 299008 341056 395264 450848 682112 790528 901696 1028497 1364224 1803392 2056994 2728448 3606784 4113988 5456896 7213568 8227976 10913792 14427136 16455952 21827584 28854272 32911904 57708544 65823808 131647616 263295232 526590464 1053180928 2106361856 4212723712