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29086309188 = 22321785755457
BaseRepresentation
bin11011000101101011…
…011101101101000100
32210002002000121012200
4123011223131231010
5434032043343223
621210112314500
72046533356146
oct330553355504
983062017180
1029086309188
1111376510662
125778b42a30
132986cb6c51
14159cd66c96
15b537e5a43
hex6c5addb44

29086309188 has 72 divisors (see below), whose sum is σ = 77940895032. Its totient is φ = 9114304512.

The previous prime is 29086309123. The next prime is 29086309199. The reversal of 29086309188 is 88190368092.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4800826944 + 24285482244 = 69288^2 + 155838^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 496756 + ... + 552212.

It is an arithmetic number, because the mean of its divisors is an integer number (1082512431).

Almost surely, 229086309188 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 29086309188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38970447516).

29086309188 is an abundant number, since it is smaller than the sum of its proper divisors (48854585844).

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

29086309188 is a wasteful number, since it uses less digits than its factorization.

29086309188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56341 (or 56336 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 29086309188 in words is "twenty-nine billion, eighty-six million, three hundred nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 857 1714 2571 3428 5142 7713 10284 14569 15426 29138 30852 43707 55457 58276 87414 110914 131121 166371 174828 221828 262242 332742 499113 524484 665484 942769 998226 1885538 1996452 2828307 3771076 5656614 8484921 11313228 16969842 33939684 47526649 95053298 142579947 190106596 285159894 427739841 570319788 807953033 855479682 1615906066 1710959364 2423859099 3231812132 4847718198 7271577297 9695436396 14543154594 29086309188