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53341152256 = 210721795939
BaseRepresentation
bin110001101011011000…
…010110010000000000
312002200102210021212201
4301223120112100000
51333220313333011
640300554002544
73565562212300
oct615330262000
9162612707781
1053341152256
1120692765207
12a407a16454
1350510301b2
14282037d600
1515c2d75cc1
hexc6b616400

53341152256 has 132 divisors (see below), whose sum is σ = 124753186800. Its totient is φ = 22728953856.

The previous prime is 53341152131. The next prime is 53341152269. The reversal of 53341152256 is 65225114335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8978535 + ... + 8984473.

It is an arithmetic number, because the mean of its divisors is an integer number (945099900).

Almost surely, 253341152256 is an apocalyptic number.

53341152256 is a gapful number since it is divisible by the number (56) 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 53341152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62376593400).

53341152256 is an abundant number, since it is smaller than the sum of its proper divisors (71412034544).

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

53341152256 is a wasteful number, since it uses less digits than its factorization.

53341152256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6127 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The spelling of 53341152256 in words is "fifty-three billion, three hundred forty-one million, one hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 179 196 224 256 358 392 448 512 716 784 896 1024 1253 1432 1568 1792 2506 2864 3136 3584 5012 5728 5939 6272 7168 8771 10024 11456 11878 12544 17542 20048 22912 23756 25088 35084 40096 41573 45824 47512 50176 70168 80192 83146 91648 95024 140336 160384 166292 183296 190048 280672 291011 320768 332584 380096 561344 582022 641536 665168 760192 1063081 1122688 1164044 1283072 1330336 1520384 2126162 2245376 2328088 2660672 3040768 4252324 4490752 4656176 5321344 6081536 7441567 8504648 8981504 9312352 10642688 14883134 17009296 18624704 21285376 29766268 34018592 37249408 42570752 52090969 59532536 68037184 74498816 104181938 119065072 136074368 148997632 208363876 238130144 272148736 297995264 416727752 476260288 544297472 833455504 952520576 1088594944 1666911008 1905041152 3333822016 3810082304 6667644032 7620164608 13335288064 26670576128 53341152256