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4521716444 = 2271949917033
BaseRepresentation
bin1000011011000001…
…11110101011011100
3102200010101222212102
410031200332223130
533230024411234
62024404024232
7220023645530
oct41540765334
912603358772
104521716444
111a10433543
12a62392078
13570a3b27b
1430c75dbc0
151b6e7cc7e
hex10d83eadc

4521716444 has 48 divisors (see below), whose sum is σ = 9539040000. Its totient is φ = 1832098176.

The previous prime is 4521716431. The next prime is 4521716449. The reversal of 4521716444 is 4446171254.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 4521716398 and 4521716407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4521716449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256952 + ... + 273984.

It is an arithmetic number, because the mean of its divisors is an integer number (198730000).

Almost surely, 24521716444 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 4521716444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769520000).

4521716444 is an abundant number, since it is smaller than the sum of its proper divisors (5017323556).

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

4521716444 is a wasteful number, since it uses less digits than its factorization.

4521716444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17562 (or 17560 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 4521716444 is about 67243.7093265980. The cubic root of 4521716444 is about 1653.6151458609.

Adding to 4521716444 its reverse (4446171254), we get a palindrome (8967887698).

The spelling of 4521716444 in words is "four billion, five hundred twenty-one million, seven hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 499 532 998 1996 3493 6986 9481 13972 17033 18962 34066 37924 66367 68132 119231 132734 238462 265468 323627 476924 647254 1294508 2265389 4530778 8499467 9061556 16998934 33997868 59496269 118992538 161489873 237985076 322979746 645959492 1130429111 2260858222 4521716444