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2909199969 = 341324612
BaseRepresentation
bin1010110101100110…
…1101111001100001
321111202011200010000
42231121231321201
521424223344334
61200402130213
7132043535364
oct25531557141
97452150100
102909199969
111263192aa5
12692350969
13374942400
141d852c0db
1512060a299
hexad66de61

2909199969 has 45 divisors (see below), whose sum is σ = 4716082569. Its totient is φ = 1786393440.

The previous prime is 2909199961. The next prime is 2909199971. The reversal of 2909199969 is 9699919092.

The square root of 2909199969 is 53937.

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

It can be written as a sum of positive squares in 4 ways, for example, as 858197025 + 2051002944 = 29295^2 + 45288^2 .

It is not a de Polignac number, because 2909199969 - 23 = 2909199961 is a prime.

It is a super-2 number, since 2×29091999692 = 16926888919259201922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2909199961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6310399 + ... + 6310859.

Almost surely, 22909199969 is an apocalyptic number.

2909199969 is the 53937-th square number.

2909199969 is the 26969-th centered octagonal number.

It is an amenable number.

2909199969 is a deficient number, since it is larger than the sum of its proper divisors (1806882600).

2909199969 is an frugal number, since it uses more digits than its factorization.

2909199969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 6377292, while the sum is 63.

The cubic root of 2909199969 is about 1427.5495498600.

The spelling of 2909199969 in words is "two billion, nine hundred nine million, one hundred ninety-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 461 507 1053 1383 1521 4149 4563 5993 12447 13689 17979 37341 53937 77909 161811 212521 233727 485433 637563 701181 1912689 2103543 2762773 5738067 6310629 8288319 17214201 24864957 35916049 74594871 107748147 223784613 323244441 969733323 2909199969