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54550201320 = 23325389389533
BaseRepresentation
bin110010110011011100…
…100000001111101000
312012210200211100101200
4302303130200033220
51343204322420240
641020544044200
73640543026546
oct626334401750
9165720740350
1054550201320
112115319170a
12a6a4903660
1351b4672444
1428d6b86d96
15164409c930
hexcb37203e8

54550201320 has 96 divisors (see below), whose sum is σ = 177744364200. Its totient is φ = 14509287936.

The previous prime is 54550201291. The next prime is 54550201327. The reversal of 54550201320 is 2310205545.

It is a happy number.

54550201320 is a `hidden beast` number, since 5 + 455 + 0 + 201 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41740941636 + 12809259684 = 204306^2 + 113178^2 .

It is not an unprimeable number, because it can be changed into a prime (54550201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54727 + ... + 334806.

Almost surely, 254550201320 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 54550201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88872182100).

54550201320 is an abundant number, since it is smaller than the sum of its proper divisors (123194162880).

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

54550201320 is a wasteful number, since it uses less digits than its factorization.

54550201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389939 (or 389932 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 54550201320 its reverse (2310205545), we get a palindrome (56860406865).

The spelling of 54550201320 in words is "fifty-four billion, five hundred fifty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 11670 14004 15560 17505 23340 28008 35010 46680 70020 140040 389533 779066 1168599 1558132 1947665 2337198 3116264 3505797 3895330 4674396 5842995 7011594 7790660 9348792 11685990 14023188 15581320 17528985 23371980 28046376 35057970 46743960 70115940 140231880 151528337 303056674 454585011 606113348 757641685 909170022 1212226696 1363755033 1515283370 1818340044 2272925055 2727510066 3030566740 3636680088 4545850110 5455020132 6061133480 6818775165 9091700220 10910040264 13637550330 18183400440 27275100660 54550201320