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29441069056 = 212723832
BaseRepresentation
bin11011011010110100…
…110001000000000000
32210222210120021021001
4123122310301000000
5440243403202211
621305224141344
72061401646400
oct333264610000
983883507231
1029441069056
1111538796a33
125857907854
132a12648829
1415d4112800
15b74a1eac1
hex6dad31000

29441069056 has 117 divisors (see below), whose sum is σ = 68666471751. Its totient is φ = 12584656896.

The previous prime is 29441069051. The next prime is 29441069071. The reversal of 29441069056 is 65096014492.

The square root of 29441069056 is 171584.

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

It is a super-2 number, since 2×294410690562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29441068997 and 29441069015.

It is not an unprimeable number, because it can be changed into a prime (29441069051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76869441 + ... + 76869823.

Almost surely, 229441069056 is an apocalyptic number.

29441069056 is the 171584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29441069056

29441069056 is an abundant number, since it is smaller than the sum of its proper divisors (39225402695).

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

29441069056 is an frugal number, since it uses more digits than its factorization.

29441069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 29441069056 in words is "twenty-nine billion, four hundred forty-one million, sixty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 383 392 448 512 766 784 896 1024 1532 1568 1792 2048 2681 3064 3136 3584 4096 5362 6128 6272 7168 10724 12256 12544 14336 18767 21448 24512 25088 28672 37534 42896 49024 50176 75068 85792 98048 100352 146689 150136 171584 196096 200704 293378 300272 343168 392192 586756 600544 686336 784384 1026823 1173512 1201088 1372672 1568768 2053646 2347024 2402176 2745344 4107292 4694048 4804352 5490688 7187761 8214584 9388096 9608704 10981376 14375522 16429168 18776192 19217408 28751044 32858336 37552384 38434816 57502088 65716672 75104768 76869632 115004176 131433344 150209536 230008352 262866688 300419072 460016704 525733376 600838144 920033408 1051466752 1840066816 2102933504 3680133632 4205867008 7360267264 14720534528 29441069056