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3495292641 = 3465692
BaseRepresentation
bin1101000001010101…
…1110111011100001
3100000121000021010000
43100111132323201
524124243331031
61334500130213
7152421332361
oct32025367341
910017007100
103495292641
111534002105
12816696969
134391abac9
142522d49a1
15156ccc3e6
hexd055eee1

3495292641 has 15 divisors (see below), whose sum is σ = 5222158051. Its totient is φ = 2329840368.

The previous prime is 3495292571. The next prime is 3495292643. The reversal of 3495292641 is 1462925943.

The square root of 3495292641 is 59121.

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., 3144854241 + 350438400 = 56079^2 + 18720^2 .

It is not a de Polignac number, because 3495292641 - 27 = 3495292513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3495292643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 528805 + ... + 535373.

Almost surely, 23495292641 is an apocalyptic number.

3495292641 is the 59121-st square number.

3495292641 is the 29561-st centered octagonal number.

It is an amenable number.

3495292641 is a deficient number, since it is larger than the sum of its proper divisors (1726865410).

3495292641 is an frugal number, since it uses more digits than its factorization.

3495292641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 6572 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The cubic root of 3495292641 is about 1517.6134989071.

The spelling of 3495292641 in words is "three billion, four hundred ninety-five million, two hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 6569 19707 59121 177363 532089 43151761 129455283 388365849 1165097547 3495292641