Search a number
-
+
30554032000 = 275317112331
BaseRepresentation
bin11100011101001010…
…011000011110000000
32220212100210122101211
4130131022120132000
51000033313011000
622011502535504
72131104662332
oct343512303600
986770718354
1030554032000
1111a59a55518
125b08597594
132b5c0b789b
14169bc67452
15bdc5b67ba
hex71d298780

30554032000 has 128 divisors (see below), whose sum is σ = 80434205280. Its totient is φ = 11502592000.

The previous prime is 30554031997. The next prime is 30554032001. The reversal of 30554032000 is 23045503.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30554032001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215835 + ... + 328165.

Almost surely, 230554032000 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 30554032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40217102640).

30554032000 is an abundant number, since it is smaller than the sum of its proper divisors (49880173280).

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

30554032000 is a wasteful number, since it uses less digits than its factorization.

30554032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112377 (or 112355 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

Adding to 30554032000 its reverse (23045503), we get a palindrome (30577077503).

The spelling of 30554032000 in words is "thirty billion, five hundred fifty-four million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 640 680 800 850 1000 1088 1360 1600 1700 2000 2125 2176 2720 3200 3400 4000 4250 5440 6800 8000 8500 10880 13600 16000 17000 27200 34000 54400 68000 112331 136000 224662 272000 449324 561655 898648 1123310 1797296 1909627 2246620 2808275 3594592 3819254 4493240 5616550 7189184 7638508 8986480 9548135 11233100 14041375 14378368 15277016 17972960 19096270 22466200 28082750 30554032 35945920 38192540 44932400 47740675 56165500 61108064 71891840 76385080 89864800 95481350 112331000 122216128 152770160 179729600 190962700 224662000 238703375 244432256 305540320 359459200 381925400 449324000 477406750 611080640 763850800 898648000 954813500 1222161280 1527701600 1797296000 1909627000 3055403200 3819254000 6110806400 7638508000 15277016000 30554032000