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4453113216 = 273611511259
BaseRepresentation
bin1000010010110110…
…10001110110000000
3102111100022120221010
410021123101312000
533104444110331
62013513400520
7215231560236
oct41133216600
912440276833
104453113216
111985736962
12a43409140
1355c76b446
143035c2956
151b0e2ae46
hex1096d1d80

4453113216 has 128 divisors (see below), whose sum is σ = 12111724800. Its totient is φ = 1449216000.

The previous prime is 4453113211. The next prime is 4453113221. The reversal of 4453113216 is 6123113544.

It is an interprime number because it is at equal distance from previous prime (4453113211) and next prime (4453113221).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4453113211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3536395 + ... + 3537653.

It is an arithmetic number, because the mean of its divisors is an integer number (94622850).

Almost surely, 24453113216 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 4453113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055862400).

4453113216 is an abundant number, since it is smaller than the sum of its proper divisors (7658611584).

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

4453113216 is a wasteful number, since it uses less digits than its factorization.

4453113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1476 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 4453113216 is about 66731.6507813197. The cubic root of 4453113216 is about 1645.2096401059.

The spelling of 4453113216 in words is "four billion, four hundred fifty-three million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 151 183 192 244 302 366 384 453 488 604 732 906 976 1208 1259 1464 1812 1952 2416 2518 2928 3624 3777 3904 4832 5036 5856 7248 7554 7808 9211 9664 10072 11712 14496 15108 18422 19328 20144 23424 27633 28992 30216 36844 40288 55266 57984 60432 73688 76799 80576 110532 120864 147376 153598 161152 190109 221064 230397 241728 294752 307196 380218 442128 460794 483456 570327 589504 614392 760436 884256 921588 1140654 1179008 1228784 1520872 1768512 1843176 2281308 2457568 3041744 3537024 3686352 4562616 4915136 6083488 7372704 9125232 9830272 11596649 12166976 14745408 18250464 23193298 24333952 29490816 34789947 36500928 46386596 69579894 73001856 92773192 139159788 185546384 278319576 371092768 556639152 742185536 1113278304 1484371072 2226556608 4453113216