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55423445440 = 2651173215689
BaseRepresentation
bin110011100111011111…
…101010100111000000
312022001112222202010111
4303213133222213000
51402001400223230
641243340441104
74001305341016
oct634737524700
9168045882114
1055423445440
11215610a9970
12a8a9249194
1352c355b63c
14297ab3a8b6
151695a9192a
hexce77ea9c0

55423445440 has 112 divisors (see below), whose sum is σ = 145947932640. Its totient is φ = 19877806080.

The previous prime is 55423445411. The next prime is 55423445443. The reversal of 55423445440 is 4454432455.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 55423445393 and 55423445402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55423445443) 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, 149116 + ... + 364804.

Almost surely, 255423445440 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 55423445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72973966320).

55423445440 is an abundant number, since it is smaller than the sum of its proper divisors (90524487200).

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

55423445440 is a wasteful number, since it uses less digits than its factorization.

55423445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215790 (or 215780 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 55423445440 its reverse (4454432455), we get a palindrome (59877877895).

The spelling of 55423445440 in words is "fifty-five billion, four hundred twenty-three million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 146 160 176 220 292 320 352 365 440 584 704 730 803 880 1168 1460 1606 1760 2336 2920 3212 3520 4015 4672 5840 6424 8030 11680 12848 16060 23360 25696 32120 51392 64240 128480 215689 256960 431378 862756 1078445 1725512 2156890 2372579 3451024 4313780 4745158 6902048 8627560 9490316 11862895 13804096 15745297 17255120 18980632 23725790 31490594 34510240 37961264 47451580 62981188 69020480 75922528 78726485 94903160 125962376 151845056 157452970 173198267 189806320 251924752 314905940 346396534 379612640 503849504 629811880 692793068 759225280 865991335 1007699008 1259623760 1385586136 1731982670 2519247520 2771172272 3463965340 5038495040 5542344544 6927930680 11084689088 13855861360 27711722720 55423445440