Search a number
-
+
29033966592 = 21035116681
BaseRepresentation
bin11011000010100011…
…110010110000000000
32202221102112022200000
4123002203302300000
5433430143412332
621201002400000
72045326433631
oct330243626000
982842468600
1029033966592
1111349a0a914
125763500000
1329791bb4b7
14159601d888
15b4de06b7c
hex6c28f2c00

29033966592 has 132 divisors (see below), whose sum is σ = 86940691656. Its totient is φ = 9677905920.

The previous prime is 29033966587. The next prime is 29033966593. The reversal of 29033966592 is 29566933092.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29033966593) 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 11 ways as a sum of consecutive naturals, for example, 190492 + ... + 307172.

Almost surely, 229033966592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29033966592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43470345828).

29033966592 is an abundant number, since it is smaller than the sum of its proper divisors (57906725064).

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

29033966592 is an equidigital number, since it uses as much as digits as its factorization.

29033966592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116716 (or 116686 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 29033966592 in words is "twenty-nine billion, thirty-three million, nine hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 62208 82944 116681 124416 233362 248832 350043 466724 700086 933448 1050129 1400172 1866896 2100258 2800344 3150387 3733792 4200516 5600688 6300774 7467584 8401032 9451161 11201376 12601548 14935168 16802064 18902322 22402752 25203096 28353483 29870336 33604128 37804644 44805504 50406192 56706966 59740672 67208256 75609288 89611008 100812384 113413932 119481344 134416512 151218576 179222016 201624768 226827864 268833024 302437152 358444032 403249536 453655728 537666048 604874304 806499072 907311456 1075332096 1209748608 1612998144 1814622912 2419497216 3225996288 3629245824 4838994432 7258491648 9677988864 14516983296 29033966592