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54444844920 = 23353134694219
BaseRepresentation
bin110010101101001010…
…100110011101111000
312012112100120200120210
4302231022212131320
51343000340014140
641002301551120
73635123355204
oct625512463570
9165470520523
1054444844920
11210a9771904
12a6755754a0
1351988a488b
1428c6b9db04
151639bdad80
hexcad2a6778

54444844920 has 128 divisors (see below), whose sum is σ = 168691968000. Its totient is φ = 14042903040.

The previous prime is 54444844897. The next prime is 54444844973. The reversal of 54444844920 is 2944844445.

It is a super-2 number, since 2×544448449202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54444844920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12902571 + ... + 12906789.

It is an arithmetic number, because the mean of its divisors is an integer number (1317906000).

Almost surely, 254444844920 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 54444844920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84345984000).

54444844920 is an abundant number, since it is smaller than the sum of its proper divisors (114247123080).

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

54444844920 is a wasteful number, since it uses less digits than its factorization.

54444844920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 54444844920 in words is "fifty-four billion, four hundred forty-four million, eight hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3469 3720 4219 6938 8438 10407 12657 13876 16876 17345 20814 21095 25314 27752 33752 34690 41628 42190 50628 52035 63285 69380 83256 84380 101256 104070 107539 126570 130789 138760 168760 208140 215078 253140 261578 322617 392367 416280 430156 506280 523156 537695 645234 653945 784734 860312 1046312 1075390 1290468 1307890 1569468 1613085 1961835 2150780 2580936 2615780 3138936 3226170 3923670 4301560 5231560 6452340 7847340 12904680 14635711 15694680 29271422 43907133 58542844 73178555 87814266 117085688 146357110 175628532 219535665 292714220 351257064 439071330 453707041 585428440 878142660 907414082 1361121123 1756285320 1814828164 2268535205 2722242246 3629656328 4537070410 5444484492 6805605615 9074140820 10888968984 13611211230 18148281640 27222422460 54444844920