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29050400000 = 285536313
BaseRepresentation
bin11011000011100010…
…011110110100000000
32202222120110020001202
4123003202132310000
5433443400300000
621202350520332
72045616216506
oct330342366400
982876406052
1029050400000
1111358214546
125768b060a8
13297c7233cb
14159829a676
15b505a0dd5
hex6c389ed00

29050400000 has 108 divisors (see below), whose sum is σ = 72481509324. Its totient is φ = 11619840000.

The previous prime is 29050399991. The next prime is 29050400009. The reversal of 29050400000 is 405092.

It is an interprime number because it is at equal distance from previous prime (29050399991) and next prime (29050400009).

It can be written as a sum of positive squares in 6 ways, for example, as 27657020416 + 1393379584 = 166304^2 + 37328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29050400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 781844 + ... + 818156.

Almost surely, 229050400000 is an apocalyptic number.

29050400000 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 29050400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36240754662).

29050400000 is an abundant number, since it is smaller than the sum of its proper divisors (43431109324).

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

29050400000 is an frugal number, since it uses more digits than its factorization.

29050400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36354 (or 36320 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 29050400000 its reverse (405092), we get a palindrome (29050805092).

The spelling of 29050400000 in words is "twenty-nine billion, fifty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 20000 25000 32000 36313 40000 50000 72626 80000 100000 145252 160000 181565 200000 290504 363130 400000 581008 726260 800000 907825 1162016 1452520 1815650 2324032 2905040 3631300 4539125 4648064 5810080 7262600 9078250 9296128 11620160 14525200 18156500 22695625 23240320 29050400 36313000 45391250 46480640 58100800 72626000 90782500 113478125 116201600 145252000 181565000 226956250 232403200 290504000 363130000 453912500 581008000 726260000 907825000 1162016000 1452520000 1815650000 2905040000 3631300000 5810080000 7262600000 14525200000 29050400000