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3520880712801 = 342084892
BaseRepresentation
bin110011001111000100110…
…110000001110001100001
3110110121000020020002210000
4303033010312001301201
5430141230430302201
611253245324530213
7512242464156234
oct63170466016141
913417006202700
103520880712801
111138219411811
1248a4539b0969
131c702c95812a
14c25a937b41b
15618bd5aed86
hex333c4d81c61

3520880712801 has 15 divisors (see below), whose sum is σ = 5259612464931. Its totient is φ = 2347242550128.

The previous prime is 3520880712709. The next prime is 3520880712809. The reversal of 3520880712801 is 1082170880253.

The square root of 3520880712801 is 1876401.

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., 1254290242401 + 2266590470400 = 1119951^2 + 1505520^2 .

It is not a de Polignac number, because 3520880712801 - 219 = 3520880188513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3520880712809) 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 14 ways as a sum of consecutive naturals, for example, 16783365 + ... + 16991853.

Almost surely, 23520880712801 is an apocalyptic number.

3520880712801 is the 1876401-st square number.

3520880712801 is the 938201-st centered octagonal number.

It is an amenable number.

3520880712801 is a deficient number, since it is larger than the sum of its proper divisors (1738731752130).

3520880712801 is an frugal number, since it uses more digits than its factorization.

3520880712801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416990 (or 208492 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 3520880712801 in words is "three trillion, five hundred twenty billion, eight hundred eighty million, seven hundred twelve thousand, eight hundred one".

Divisors: 1 3 9 27 81 208489 625467 1876401 5629203 16887609 43467663121 130402989363 391208968089 1173626904267 3520880712801