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51215552202400 = 2552151613691631
BaseRepresentation
bin10111010010100100011001…
…10010111100011010100000
320201100011021220002010002121
423221102030302330122200
523203103422330434100
6300532033323354024
713534126061600125
oct1351221462743240
9221304256063077
1051215552202400
1115356437039013
1258b1b00982914
1322767b50887c1
14c90bbb41a74c
155dc379d8a51a
hex2e948ccbc6a0

51215552202400 has 144 divisors (see below), whose sum is σ = 126063476921088. Its totient is φ = 20317322880000.

The previous prime is 51215552202319. The next prime is 51215552202421. The reversal of 51215552202400 is 420225551215.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73704585 + ... + 74396215.

It is an arithmetic number, because the mean of its divisors is an integer number (875440811952).

Almost surely, 251215552202400 is an apocalyptic number.

51215552202400 is a gapful number since it is divisible by the number (50) 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 51215552202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63031738460544).

51215552202400 is an abundant number, since it is smaller than the sum of its proper divisors (74847924718688).

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

51215552202400 is a wasteful number, since it uses less digits than its factorization.

51215552202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692415 (or 692402 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

Adding to 51215552202400 its reverse (420225551215), we get a palindrome (51635777753615).

The spelling of 51215552202400 in words is "fifty-one trillion, two hundred fifteen billion, five hundred fifty-two million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 151 160 200 302 400 604 613 755 800 1208 1226 1510 2416 2452 3020 3065 3775 4832 4904 6040 6130 7550 9808 12080 12260 15100 15325 19616 24160 24520 30200 30650 49040 60400 61300 92563 98080 120800 122600 185126 245200 370252 462815 490400 691631 740504 925630 1383262 1481008 1851260 2314075 2766524 2962016 3458155 3702520 4628150 5533048 6916310 7405040 9256300 11066096 13832620 14810080 17290775 18512600 22132192 27665240 34581550 37025200 55330480 69163100 74050400 104436281 110660960 138326200 208872562 276652400 417745124 423969803 522181405 553304800 835490248 847939606 1044362810 1670980496 1695879212 2088725620 2119849015 2610907025 3341960992 3391758424 4177451240 4239698030 5221814050 6783516848 8354902480 8479396060 10443628100 10599245075 13567033696 16709804960 16958792120 20887256200 21198490150 33917584240 41774512400 42396980300 64019440253 67835168480 83549024800 84793960600 128038880506 169587921200 256077761012 320097201265 339175842400 512155522024 640194402530 1024311044048 1280388805060 1600486006325 2048622088096 2560777610120 3200972012650 5121555220240 6401944025300 10243110440480 12803888050600 25607776101200 51215552202400