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4705554454441 = 29213125712
BaseRepresentation
bin100010001111001100011…
…1001101101011110101001
3121122211212011212121201221
41010132120321231132221
51104043433420020231
614001411334342041
7663652011630301
oct104363071553651
917584764777657
104705554454441
1115546838a8085
1263bb747ba921
13281968c340b9
14123a701d4601
15826079dbd11
hex44798e6d7a9

4705554454441 has 27 divisors (see below), whose sum is σ = 4919511308439. Its totient is φ = 4500716329200.

The previous prime is 4705554454357. The next prime is 4705554454451. The reversal of 4705554454441 is 1444544555074.

The square root of 4705554454441 is 2169229.

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

It can be written as a sum of positive squares in only one way, i.e., 2467478614041 + 2238075840400 = 1570821^2 + 1496020^2 .

It is not a de Polignac number, because 4705554454441 - 217 = 4705554323369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4705554454451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8240900686 + ... + 8240901256.

Almost surely, 24705554454441 is an apocalyptic number.

4705554454441 is the 2169229-th square number.

4705554454441 is the 1084615-th centered octagonal number.

It is an amenable number.

4705554454441 is a deficient number, since it is larger than the sum of its proper divisors (213956853998).

4705554454441 is an frugal number, since it uses more digits than its factorization.

4705554454441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 17920000, while the sum is 52.

The spelling of 4705554454441 in words is "four trillion, seven hundred five billion, five hundred fifty-four million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 29 131 571 841 3799 16559 17161 74801 110171 326041 480211 497669 2169229 9455189 9798931 14432401 42711371 62907641 274200481 284168999 1238629759 5595189601 8240900971 35920263011 162260498429 4705554454441