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34406661505 = 5171093713617
BaseRepresentation
bin100000000010110010…
…111111110110000001
310021210212012111112111
4200002302333312001
51030431101132010
623450050055321
72325425540326
oct400262776601
9107725174474
1034406661505
1113656733047
12680287a541
13332431b208
1419457b8b4d
15d6592b58a
hex802cbfd81

34406661505 has 16 divisors (see below), whose sum is σ = 44117781840. Its totient is φ = 25668513792.

The previous prime is 34406661493. The next prime is 34406661511. The reversal of 34406661505 is 50516660443.

It can be written as a sum of positive squares in 8 ways, for example, as 3285467761 + 31121193744 = 57319^2 + 176412^2 .

It is not a de Polignac number, because 34406661505 - 29 = 34406660993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847544 + ... + 1866073.

It is an arithmetic number, because the mean of its divisors is an integer number (2757361365).

Almost surely, 234406661505 is an apocalyptic number.

It is an amenable number.

34406661505 is a deficient number, since it is larger than the sum of its proper divisors (9711120335).

34406661505 is a wasteful number, since it uses less digits than its factorization.

34406661505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713748.

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 34406661505 in words is "thirty-four billion, four hundred six million, six hundred sixty-one thousand, five hundred five".

Divisors: 1 5 17 85 109 545 1853 9265 3713617 18568085 63131489 315657445 404784253 2023921265 6881332301 34406661505