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3484244091769 = 7237272072
BaseRepresentation
bin110010101100111101001…
…000011010001101111001
3110100002102221221220211221
4302230331020122031321
5424041212441414034
611224350054552041
7506504550060100
oct62547510321571
913302387856757
103484244091769
111123728a57111
1248332a368621
131c3741648b4c
14c08d1767037
1560976ee9bb4
hex32b3d21a379

3484244091769 has 27 divisors (see below), whose sum is σ = 4166182223343. Its totient is φ = 2905375668048.

The previous prime is 3484244091761. The next prime is 3484244091863. The reversal of 3484244091769 is 9671904424843.

The square root of 3484244091769 is 1866613.

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., 3117749461225 + 366494630544 = 1765715^2 + 605388^2 .

It is not a de Polignac number, because 3484244091769 - 23 = 3484244091761 is a prime.

It is a super-2 number, since 2×34842440917692 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3484244091761) 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, 483449164 + ... + 483456370.

It is an arithmetic number, because the mean of its divisors is an integer number (154303045309).

Almost surely, 23484244091769 is an apocalyptic number.

3484244091769 is the 1866613-rd square number.

3484244091769 is the 933307-th centered octagonal number.

It is an amenable number.

3484244091769 is a deficient number, since it is larger than the sum of its proper divisors (681938131574).

3484244091769 is an frugal number, since it uses more digits than its factorization.

3484244091769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 3484244091769 in words is "three trillion, four hundred eighty-four billion, two hundred forty-four million, ninety-one thousand, seven hundred sixty-nine".

Divisors: 1 7 37 49 259 1369 1813 7207 9583 50449 67081 266659 353143 1866613 9866383 13066291 51940849 69064681 363585943 483452767 1921811413 2545101601 13452679891 71107022281 94168759237 497749155967 3484244091769