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29113604208 = 24321373213043
BaseRepresentation
bin11011000111010011…
…100101100001110000
32210010222101022221100
4123013103211201300
5434111040313313
621212525324400
72050314360363
oct330723454160
983128338840
1029113604208
111138a963827
125786106700
13298c852950
1415a28300da
15b55dd8173
hex6c74e5870

29113604208 has 120 divisors (see below), whose sum is σ = 88947574352. Its totient is φ = 8835277824.

The previous prime is 29113604147. The next prime is 29113604231. The reversal of 29113604208 is 80240631192.

29113604208 is a `hidden beast` number, since 2 + 91 + 1 + 360 + 4 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 30135 + ... + 243177.

Almost surely, 229113604208 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 29113604208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44473787176).

29113604208 is an abundant number, since it is smaller than the sum of its proper divisors (59833970144).

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

29113604208 is a wasteful number, since it uses less digits than its factorization.

29113604208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213143 (or 213134 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 29113604208 in words is "twenty-nine billion, one hundred thirteen million, six hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 936 949 1168 1314 1752 1872 1898 2628 2847 3504 3796 5256 5694 7592 8541 10512 11388 15184 17082 22776 34164 45552 68328 136656 213043 426086 639129 852172 1278258 1704344 1917387 2556516 2769559 3408688 3834774 5113032 5539118 7669548 8308677 10226064 11078236 15339096 15552139 16617354 22156472 24926031 30678192 31104278 33234708 44312944 46656417 49852062 62208556 66469416 93312834 99704124 124417112 132938832 139969251 186625668 199408248 202177807 248834224 279938502 373251336 398816496 404355614 559877004 606533421 746502672 808711228 1119754008 1213066842 1617422456 1819600263 2239508016 2426133684 3234844912 3639200526 4852267368 7278401052 9704534736 14556802104 29113604208