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29116644496 = 2429214712
BaseRepresentation
bin11011000111011111…
…001011110010010000
32210011012002210102121
4123013133023302100
5434112330110441
621213114424024
72050352252242
oct330737136220
983135083377
1029116644496
111139164aa65
125787132014
132990378734
1415a2dc2092
15b562d8dd1
hex6c77cbc90

29116644496 has 45 divisors (see below), whose sum is σ = 58465616313. Its totient is φ = 14046755520.

The previous prime is 29116644493. The next prime is 29116644517. The reversal of 29116644496 is 69444661192.

The square root of 29116644496 is 170636.

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., 15268062096 + 13848582400 = 123564^2 + 117680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29116644493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19793041 + ... + 19794511.

Almost surely, 229116644496 is an apocalyptic number.

29116644496 is the 170636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29116644496

29116644496 is an abundant number, since it is smaller than the sum of its proper divisors (29348971817).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29116644496 is an frugal number, since it uses more digits than its factorization.

29116644496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 1502 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The spelling of 29116644496 in words is "twenty-nine billion, one hundred sixteen million, six hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1471 1682 2942 3364 5884 6728 11768 13456 23536 42659 85318 170636 341272 682544 1237111 2163841 2474222 4327682 4948444 8655364 9896888 17310728 19793776 34621456 62751389 125502778 251005556 502011112 1004022224 1819790281 3639580562 7279161124 14558322248 29116644496