Search a number
-
+
29978378250 = 2353237432339
BaseRepresentation
bin11011111010110110…
…011100000000001010
32212101020121101220120
4123322312130000022
5442343431101000
621434420404110
72110615003452
oct337266340012
985336541816
1029978378250
1111794016317
125987846636
132a99a64772
14164561ad62
15ba6ca76a0
hex6fad9c00a

29978378250 has 128 divisors (see below), whose sum is σ = 78217850880. Its totient is φ = 7633102400.

The previous prime is 29978378207. The next prime is 29978378257. The reversal of 29978378250 is 5287387992.

It is not an unprimeable number, because it can be changed into a prime (29978378257) 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 63 ways as a sum of consecutive naturals, for example, 12815581 + ... + 12817919.

It is an arithmetic number, because the mean of its divisors is an integer number (611076960).

Almost surely, 229978378250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29978378250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39108925440).

29978378250 is an abundant number, since it is smaller than the sum of its proper divisors (48239472630).

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

29978378250 is a wasteful number, since it uses less digits than its factorization.

29978378250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 29978378250 in words is "twenty-nine billion, nine hundred seventy-eight million, three hundred seventy-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 150 230 250 345 375 575 690 743 750 1150 1486 1725 2229 2339 2875 3450 3715 4458 4678 5750 7017 7430 8625 11145 11695 14034 17089 17250 18575 22290 23390 34178 35085 37150 51267 53797 55725 58475 70170 85445 92875 102534 107594 111450 116950 161391 170890 175425 185750 256335 268985 278625 292375 322782 350850 427225 512670 537970 557250 584750 806955 854450 877125 1281675 1344925 1613910 1737877 1754250 2136125 2563350 2689850 3475754 4034775 4272250 5213631 6408375 6724625 8069550 8689385 10427262 12816750 13449250 17378770 20173875 26068155 39971171 40347750 43446925 52136310 79942342 86893850 119913513 130340775 199855855 217234625 239827026 260681550 399711710 434469250 599567565 651703875 999279275 1199135130 1303407750 1998558550 2997837825 4996396375 5995675650 9992792750 14989189125 29978378250