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4861716444 = 2233136751683
BaseRepresentation
bin1001000011100011…
…11110011111011100
3110112211011210012000
410201301332133130
534424044411234
62122231242300
7231322623264
oct44161763734
913484153160
104861716444
112075348582
12b38219390
135c63028c0
143419867a4
151d6c3d899
hex121c7e7dc

4861716444 has 96 divisors (see below), whose sum is σ = 13776887040. Its totient is φ = 1473557184.

The previous prime is 4861716443. The next prime is 4861716449. The reversal of 4861716444 is 4446171684.

4861716444 is a `hidden beast` number, since 486 + 1 + 7 + 164 + 4 + 4 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 4861716444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861716443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68227 + ... + 119909.

It is an arithmetic number, because the mean of its divisors is an integer number (143509240).

Almost surely, 24861716444 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 4861716444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888443520).

4861716444 is an abundant number, since it is smaller than the sum of its proper divisors (8915170596).

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

4861716444 is a wasteful number, since it uses less digits than its factorization.

4861716444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51776 (or 51768 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4861716444 is about 69726.0098098263. The cubic root of 4861716444 is about 1694.0642403226.

The spelling of 4861716444 in words is "four billion, eight hundred sixty-one million, seven hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 15678 23517 31356 47034 51683 94068 103366 155049 206732 310098 465147 620196 671879 930294 1343758 1395441 1860588 2015637 2687516 2790882 3462761 4031274 5581764 6046911 6925522 8062548 10388283 12093822 13851044 18140733 20776566 24187644 31164849 36281466 41553132 45015893 62329698 72562932 90031786 93494547 124659396 135047679 180063572 186989094 270095358 373978188 405143037 540190716 810286074 1215429111 1620572148 2430858222 4861716444