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4213453104 = 2432739710529
BaseRepresentation
bin1111101100100100…
…0011000100110000
3101212122100121001200
43323021003010300
532112120444404
61534032531200
7206261521560
oct37311030460
911778317050
104213453104
111872425753
129970b0b00
13521c09223
142bd838da0
15199d8a839
hexfb243130

4213453104 has 120 divisors (see below), whose sum is σ = 13511590560. Its totient is φ = 1200697344.

The previous prime is 4213453093. The next prime is 4213453151. The reversal of 4213453104 is 4013543124.

It is a happy number.

4213453104 is a `hidden beast` number, since 4 + 2 + 1 + 345 + 310 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394912 + ... + 405440.

It is an arithmetic number, because the mean of its divisors is an integer number (112596588).

Almost surely, 24213453104 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 4213453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755795280).

4213453104 is an abundant number, since it is smaller than the sum of its proper divisors (9298137456).

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

4213453104 is a wasteful number, since it uses less digits than its factorization.

4213453104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10947 (or 10938 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4213453104 is about 64911.1169523372. The cubic root of 4213453104 is about 1615.1494785075.

Adding to 4213453104 its reverse (4013543124), we get a palindrome (8226996228).

The spelling of 4213453104 in words is "four billion, two hundred thirteen million, four hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 397 504 794 1008 1191 1588 2382 2779 3176 3573 4764 5558 6352 7146 8337 9528 10529 11116 14292 16674 19056 21058 22232 25011 28584 31587 33348 42116 44464 50022 57168 63174 66696 73703 84232 94761 100044 126348 133392 147406 168464 189522 200088 221109 252696 294812 379044 400176 442218 505392 589624 663327 758088 884436 1179248 1326654 1516176 1768872 2653308 3537744 4180013 5306616 8360026 10613232 12540039 16720052 25080078 29260091 33440104 37620117 50160156 58520182 66880208 75240234 87780273 100320312 117040364 150480468 175560546 200640624 234080728 263340819 300960936 351121092 468161456 526681638 601921872 702242184 1053363276 1404484368 2106726552 4213453104