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4613226912 = 253372108967
BaseRepresentation
bin1000100101111100…
…00100000110100000
3102220111121012122000
410102332010012200
533421441230122
62041433244000
7222214532100
oct42276040640
912814535560
104613226912
111a58056728
12a88b63600
1358699b888
1431a981200
151c00070ac
hex112f841a0

4613226912 has 144 divisors (see below), whose sum is σ = 15652163520. Its totient is φ = 1318052736.

The previous prime is 4613226907. The next prime is 4613226941. The reversal of 4613226912 is 2196223164.

It is a happy number.

4613226912 is a `hidden beast` number, since 4 + 613 + 2 + 26 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 12148 + ... + 96819.

It is an arithmetic number, because the mean of its divisors is an integer number (108695580).

Almost surely, 24613226912 is an apocalyptic number.

4613226912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4613226912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826081760).

4613226912 is an abundant number, since it is smaller than the sum of its proper divisors (11038936608).

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

4613226912 is a wasteful number, since it uses less digits than its factorization.

4613226912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109000 (or 108979 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4613226912 is about 67920.7399252982. The cubic root of 4613226912 is about 1664.6960113801.

The spelling of 4613226912 in words is "four billion, six hundred thirteen million, two hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 108967 217934 326901 435868 653802 762769 871736 980703 1307604 1525538 1743472 1961406 2288307 2615208 2942109 3051076 3486944 3922812 4576614 5230416 5339383 5884218 6102152 6864921 7845624 9153228 10460832 10678766 11768436 12204304 13729842 15691248 16018149 18306456 20594763 21357532 23536872 24408608 27459684 31382496 32036298 36612912 41189526 42715064 47073744 48054447 54919368 64072596 73225824 82379052 85430128 94147488 96108894 109838736 128145192 144163341 164758104 170860256 192217788 219677472 256290384 288326682 329516208 384435576 512580768 576653364 659032416 768871152 1153306728 1537742304 2306613456 4613226912