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4728084941056 = 2837236732
BaseRepresentation
bin100010011001101011111…
…0100101100100100000000
3121202000000100221221001011
41010303113310230210000
51104431104221103211
614020015141050304
7665410231616221
oct104632764544400
917660010857034
104728084941056
111563195763154
126444020b6994
13283b19953799
14124baa5c5248
1582ec59a6921
hex44cd7d2c900

4728084941056 has 81 divisors (see below), whose sum is σ = 9702309181131. Its totient is φ = 2299523198976.

The previous prime is 4728084941053. The next prime is 4728084941059. The reversal of 4728084941056 is 6501494808274.

The square root of 4728084941056 is 2174416.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4728084941053) and next prime (4728084941059).

It can be written as a sum of positive squares in 4 ways, for example, as 25085491456 + 4702999449600 = 158384^2 + 2168640^2 .

It is not an unprimeable number, because it can be changed into a prime (4728084941053) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1287252436 + ... + 1287256108.

Almost surely, 24728084941056 is an apocalyptic number.

4728084941056 is the 2174416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4728084941056

4728084941056 is an abundant number, since it is smaller than the sum of its proper divisors (4974224240075).

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

4728084941056 is an frugal number, since it uses more digits than its factorization.

4728084941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7436 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 4728084941056 in words is "four trillion, seven hundred twenty-eight billion, eighty-four million, nine hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1369 2368 2738 3673 4736 5476 7346 9472 10952 14692 21904 29384 43808 58768 87616 117536 135901 175232 235072 271802 350464 470144 543604 940288 1087208 2174416 4348832 5028337 8697664 10056674 13490929 17395328 20113348 26981858 34790656 40226696 53963716 80453392 107927432 160906784 215854864 321813568 431709728 499164373 643627136 863419456 998328746 1287254272 1726838912 1996657492 3453677824 3993314984 7986629968 15973259936 18469081801 31946519872 36938163602 63893039744 73876327204 127786079488 147752654408 295505308816 591010617632 1182021235264 2364042470528 4728084941056