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29462692609 = 743121132
BaseRepresentation
bin11011011100000111…
…010000001100000001
32211001022020212012101
4123130013100030001
5440314422130414
621311315430401
72062053520000
oct333407201401
984038225171
1029462692609
1111549a16039
125862bb5401
132a16c79c2c
1415d6d40c37
15b76891a74
hex6dc1d0301

29462692609 has 45 divisors (see below), whose sum is σ = 35832686019. Its totient is φ = 24222824640.

The previous prime is 29462692601. The next prime is 29462692631. The reversal of 29462692609 is 90629626492.

It is a happy number.

The square root of 29462692609 is 171647.

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., 519156225 + 28943536384 = 22785^2 + 170128^2 .

It is not a de Polignac number, because 29462692609 - 23 = 29462692601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29462692609.

It is not an unprimeable number, because it can be changed into a prime (29462692601) 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, 260731737 + ... + 260731849.

Almost surely, 229462692609 is an apocalyptic number.

29462692609 is the 171647-th square number.

29462692609 is the 85824-th centered octagonal number.

It is an amenable number.

29462692609 is a deficient number, since it is larger than the sum of its proper divisors (6369993410).

29462692609 is an frugal number, since it uses more digits than its factorization.

29462692609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 29462692609 in words is "twenty-nine billion, four hundred sixty-two million, six hundred ninety-two thousand, six hundred nine".

Divisors: 1 7 31 49 113 217 343 791 961 1519 2401 3503 5537 6727 10633 12769 24521 38759 47089 74431 89383 108593 171647 271313 329623 395839 625681 760151 1201529 2307361 2770873 4379767 5321057 8410703 12271009 19396111 30658369 37247399 85897063 135772777 260731793 601279441 950409439 4208956087 29462692609