Search a number
-
+
29074738336 = 2572915129641
BaseRepresentation
bin11011000100111111…
…010100110010100000
32210001021020201222121
4123010333110302200
5434021113111321
621205020314024
72046333124660
oct330477246240
983037221877
1029074738336
111136aa28276
1257750a2914
1329847953a7
14159b5d41a0
15b527ac441
hex6c4fd4ca0

29074738336 has 96 divisors (see below), whose sum is σ = 68124430080. Its totient is φ = 11950848000.

The previous prime is 29074738327. The next prime is 29074738337. The reversal of 29074738336 is 63383747092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29074738337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 966076 + ... + 995716.

It is an arithmetic number, because the mean of its divisors is an integer number (709629480).

Almost surely, 229074738336 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 29074738336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34062215040).

29074738336 is an abundant number, since it is smaller than the sum of its proper divisors (39049691744).

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

29074738336 is a wasteful number, since it uses less digits than its factorization.

29074738336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29838 (or 29830 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 52.

The spelling of 29074738336 in words is "twenty-nine billion, seventy-four million, seven hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 151 203 224 232 302 406 464 604 812 928 1057 1208 1624 2114 2416 3248 4228 4379 4832 6496 8456 8758 16912 17516 29641 30653 33824 35032 59282 61306 70064 118564 122612 140128 207487 237128 245224 414974 474256 490448 829948 859589 948512 980896 1659896 1719178 3319792 3438356 4475791 6017123 6639584 6876712 8951582 12034246 13753424 17903164 24068492 27506848 31330537 35806328 48136984 62661074 71612656 96273968 125322148 129797939 143225312 192547936 250644296 259595878 501288592 519191756 908585573 1002577184 1038383512 1817171146 2076767024 3634342292 4153534048 7268684584 14537369168 29074738336