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29240969730064 = 24883215312
BaseRepresentation
bin1101010011000001100011…
…00111010001100000010000
310211112102001110022221120021
412221200301213101200100
512313041001222330224
6142105041022153224
76105406326504301
oct651406147214020
9124472043287507
1029240969730064
119354031113a04
123343119722814
131341547414501
147313b03007a8
1535a9586c11e4
hex1a98319d1810

29240969730064 has 45 divisors (see below), whose sum is σ = 56755683732159. Its totient is φ = 14594388308640.

The previous prime is 29240969730013. The next prime is 29240969730079. The reversal of 29240969730064 is 46003796904292.

The square root of 29240969730064 is 5407492.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29240969729984 and 29240969730011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19099260979 + ... + 19099262509.

Almost surely, 229240969730064 is an apocalyptic number.

29240969730064 is the 5407492-nd square number.

It is an amenable number.

29240969730064 is a deficient number, since it is larger than the sum of its proper divisors (27514714002095).

29240969730064 is an frugal number, since it uses more digits than its factorization.

29240969730064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 61.

The spelling of 29240969730064 in words is "twenty-nine trillion, two hundred forty billion, nine hundred sixty-nine million, seven hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 883 1531 1766 3062 3532 6124 7064 12248 14128 24496 779689 1351873 1559378 2343961 2703746 3118756 4687922 5407492 6237512 9375844 10814984 12475024 18751688 21629968 37503376 1193703859 2069717563 2387407718 4139435126 4774815436 8278870252 9549630872 16557740504 19099261744 33115481008 1827560608129 3655121216258 7310242432516 14620484865032 29240969730064