Search a number
-
+
29047655420 = 22572343920549
BaseRepresentation
bin11011000011011000…
…000000101111111100
32202222101021210012122
4123003120000233330
5433442144433140
621202212022112
72045553666020
oct330330005774
982871253178
1029047655420
111135670a4a3
125768001938
13297bca20b4
141597b84380
15b5020cab5
hex6c3600bfc

29047655420 has 96 divisors (see below), whose sum is σ = 72914688000. Its totient is φ = 9504025344.

The previous prime is 29047655419. The next prime is 29047655431. The reversal of 29047655420 is 2455674092.

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 31 ways as a sum of consecutive naturals, for example, 1403306 + ... + 1423854.

It is an arithmetic number, because the mean of its divisors is an integer number (759528000).

Almost surely, 229047655420 is an apocalyptic number.

29047655420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29047655420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36457344000).

29047655420 is an abundant number, since it is smaller than the sum of its proper divisors (43867032580).

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

29047655420 is a wasteful number, since it uses less digits than its factorization.

29047655420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21027 (or 21025 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 29047655420 in words is "twenty-nine billion, forty-seven million, six hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 439 460 644 805 878 1610 1756 2195 3073 3220 4390 6146 8780 10097 12292 15365 20194 20549 30730 40388 41098 50485 61460 70679 82196 100970 102745 141358 143843 201940 205490 282716 287686 353395 410980 472627 575372 706790 719215 945254 1413580 1438430 1890508 2363135 2876860 3308389 4726270 6616778 9021011 9452540 13233556 16541945 18042022 33083890 36084044 45105055 63147077 66167780 90210110 126294154 180420220 207483253 252588308 315735385 414966506 631470770 829933012 1037416265 1262941540 1452382771 2074832530 2904765542 4149665060 5809531084 7261913855 14523827710 29047655420