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3481720887969 = 32172365872
BaseRepresentation
bin110010101010100110101…
…111001001101010100001
3110022211221010002212221100
4302222212233021222201
5424021031021403334
611223251441545013
7506355201146562
oct62524657115241
913284833085840
103481720887969
111122653744815
12482945345169
131c342b983c4c
14c07325d6169
156087a738c99
hex32aa6bc9aa1

3481720887969 has 27 divisors (see below), whose sum is σ = 5342532821587. Its totient is φ = 2184549474624.

The previous prime is 3481720887959. The next prime is 3481720887973. The reversal of 3481720887969 is 9697880271843.

The square root of 3481720887969 is 1865937.

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

3481720887969 is a `hidden beast` number, since 3 + 481 + 7 + 2 + 0 + 8 + 87 + 9 + 69 = 666.

3481720887969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2710682352225 + 771038535744 = 1646415^2 + 878088^2 .

It is not a de Polignac number, because 3481720887969 - 227 = 3481586670241 is a prime.

It is a super-2 number, since 2×34817208879692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3481720887897 and 3481720887906.

It is not an unprimeable number, because it can be changed into a prime (3481720887919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95144494 + ... + 95181080.

Almost surely, 23481720887969 is an apocalyptic number.

3481720887969 is the 1865937-th square number.

3481720887969 is the 932969-th centered octagonal number.

It is an amenable number.

3481720887969 is a deficient number, since it is larger than the sum of its proper divisors (1860811933618).

3481720887969 is an frugal number, since it uses more digits than its factorization.

3481720887969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73214 (or 36607 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 3481720887969 in words is "three trillion, four hundred eighty-one billion, seven hundred twenty million, eight hundred eighty-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 36587 109761 329283 621979 1865937 5597811 10573643 31720929 95162787 1338608569 4015825707 12047477121 22756345673 68269037019 204807111057 386857876441 1160573629323 3481720887969