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4469247216 = 243278353419
BaseRepresentation
bin1000010100110001…
…10100110011110000
3102112110200021121200
410022120310303300
533123111402331
62015251251200
7215515655160
oct41230646360
912473607550
104469247216
111993856645
12a488a9b00
13562bc9ca5
143057c25a0
151b25665e6
hex10a634cf0

4469247216 has 120 divisors (see below), whose sum is σ = 14466990720. Its totient is φ = 1261519488.

The previous prime is 4469247193. The next prime is 4469247239. The reversal of 4469247216 is 6127429644.

It is an interprime number because it is at equal distance from previous prime (4469247193) and next prime (4469247239).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 56955 + ... + 110373.

It is an arithmetic number, because the mean of its divisors is an integer number (120558256).

Almost surely, 24469247216 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 4469247216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233495360).

4469247216 is an abundant number, since it is smaller than the sum of its proper divisors (9997743504).

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

4469247216 is a wasteful number, since it uses less digits than its factorization.

4469247216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53523 (or 53514 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 4469247216 is about 66852.4286469833. The cubic root of 4469247216 is about 1647.1941558520.

The spelling of 4469247216 in words is "four billion, four hundred sixty-nine million, two hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2988 3486 3984 4648 5229 5976 6972 9296 10458 11952 13944 20916 27888 41832 53419 83664 106838 160257 213676 320514 373933 427352 480771 641028 747866 854704 961542 1121799 1282056 1495732 1923084 2243598 2564112 2991464 3365397 3846168 4433777 4487196 5982928 6730794 7692336 8867554 8974392 13301331 13461588 17735108 17948784 26602662 26923176 31036439 35470216 39903993 53205324 53846352 62072878 70940432 79807986 93109317 106410648 124145756 159615972 186218634 212821296 248291512 279327951 319231944 372437268 496583024 558655902 638463888 744874536 1117311804 1489749072 2234623608 4469247216