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55306409408 = 2623247315193
BaseRepresentation
bin110011100000100001…
…001101010111000000
312021202101202200212122
4303200201031113000
51401231420100113
641224000143412
73665354503055
oct634041152700
9167671680778
1055306409408
1121501031a78
12a876007b68
1352a5231853
14296939302c
15168a674408
hexce084d5c0

55306409408 has 56 divisors (see below), whose sum is σ = 114574185888. Its totient is φ = 26438455296.

The previous prime is 55306409387. The next prime is 55306409419. The reversal of 55306409408 is 80490460355.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3632660 + ... + 3647852.

Almost surely, 255306409408 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 55306409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57287092944).

55306409408 is an abundant number, since it is smaller than the sum of its proper divisors (59267776480).

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

55306409408 is a wasteful number, since it uses less digits than its factorization.

55306409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17701 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 55306409408 in words is "fifty-five billion, three hundred six million, four hundred nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 2473 4946 9892 15193 19784 30386 39568 56879 60772 79136 113758 121544 158272 227516 243088 349439 455032 486176 698878 910064 972352 1397756 1820128 2795512 3640256 5591024 11182048 22364096 37572289 75144578 150289156 300578312 601156624 864162647 1202313248 1728325294 2404626496 3456650588 6913301176 13826602352 27653204704 55306409408