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34709263681 = 17241235153
BaseRepresentation
bin100000010100110101…
…010101010101000001
310022120221121021200111
4200110311111111001
51032041032414211
623540055551321
72336061605401
oct402465252501
9108527537614
1034709263681
11137a1524594
12688808b541
133371c1a561
141973a68801
15d822a1421
hex814d55541

34709263681 has 12 divisors (see below), whose sum is σ = 36905161356. Its totient is φ = 32531066880.

The previous prime is 34709263649. The next prime is 34709263811. The reversal of 34709263681 is 18636290743.

It can be written as a sum of positive squares in 6 ways, for example, as 98010000 + 34611253681 = 9900^2 + 186041^2 .

It is not a de Polignac number, because 34709263681 - 25 = 34709263649 is a prime.

It is a super-2 number, since 2×347092636812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34709263621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969801 + ... + 1004953.

It is an arithmetic number, because the mean of its divisors is an integer number (3075430113).

Almost surely, 234709263681 is an apocalyptic number.

It is an amenable number.

34709263681 is a deficient number, since it is larger than the sum of its proper divisors (2195897675).

34709263681 is an equidigital number, since it uses as much as digits as its factorization.

34709263681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35652 (or 35411 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 34709263681 in words is "thirty-four billion, seven hundred nine million, two hundred sixty-three thousand, six hundred eighty-one".

Divisors: 1 17 241 4097 35153 58081 597601 987377 8471873 144021841 2041721393 34709263681